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<h1>itkSymmetricSecondRankTensor.h</h1><a href="itkSymmetricSecondRankTensor_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*=========================================================================</span>
<a name="l00002"></a>00002 <span class="comment"></span>
<a name="l00003"></a>00003 <span class="comment">  Program:   Insight Segmentation &amp; Registration Toolkit</span>
<a name="l00004"></a>00004 <span class="comment">  Module:    $RCSfile: itkSymmetricSecondRankTensor.h,v $</span>
<a name="l00005"></a>00005 <span class="comment">  Language:  C++</span>
<a name="l00006"></a>00006 <span class="comment">  Date:      $Date: 2008-03-10 22:48:13 $</span>
<a name="l00007"></a>00007 <span class="comment">  Version:   $Revision: 1.25 $</span>
<a name="l00008"></a>00008 <span class="comment"></span>
<a name="l00009"></a>00009 <span class="comment">  Copyright (c) Insight Software Consortium. All rights reserved.</span>
<a name="l00010"></a>00010 <span class="comment">  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.</span>
<a name="l00011"></a>00011 <span class="comment"></span>
<a name="l00012"></a>00012 <span class="comment">     This software is distributed WITHOUT ANY WARRANTY; without even </span>
<a name="l00013"></a>00013 <span class="comment">     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR </span>
<a name="l00014"></a>00014 <span class="comment">     PURPOSE.  See the above copyright notices for more information.</span>
<a name="l00015"></a>00015 <span class="comment"></span>
<a name="l00016"></a>00016 <span class="comment">=========================================================================*/</span>
<a name="l00017"></a>00017 <span class="preprocessor">#ifndef __itkSymmetricSecondRankTensor_h</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor">#define __itkSymmetricSecondRankTensor_h</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span>
<a name="l00020"></a>00020 <span class="comment">// Undefine an eventual SymmetricSecondRankTensor macro</span>
<a name="l00021"></a>00021 <span class="preprocessor">#ifdef SymmetricSecondRankTensor</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor">#undef SymmetricSecondRankTensor</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span>
<a name="l00025"></a>00025 <span class="preprocessor">#include "<a class="code" href="itkIndent_8h.html">itkIndent.h</a>"</span>
<a name="l00026"></a>00026 <span class="preprocessor">#include "<a class="code" href="itkFixedArray_8h.html">itkFixedArray.h</a>"</span>
<a name="l00027"></a>00027 <span class="preprocessor">#include "<a class="code" href="itkMatrix_8h.html">itkMatrix.h</a>"</span>
<a name="l00028"></a>00028 <span class="preprocessor">#include "<a class="code" href="itkSymmetricEigenAnalysis_8h.html">itkSymmetricEigenAnalysis.h</a>"</span>
<a name="l00029"></a>00029 
<a name="l00030"></a>00030 <span class="keyword">namespace </span>itk
<a name="l00031"></a>00031 {
<a name="l00032"></a>00032 
<a name="l00073"></a>00073 <span class="keyword">template</span> &lt; <span class="keyword">typename</span> TComponent, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimension=3 &gt;
<a name="l00074"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html">00074</a> <span class="keyword">class </span><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">SymmetricSecondRankTensor</a>: <span class="keyword">public</span> 
<a name="l00075"></a>00075         <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">FixedArray</a>&lt;TComponent,NDimension*(NDimension+1)/2&gt;
<a name="l00076"></a>00076 {
<a name="l00077"></a>00077 <span class="keyword">public</span>:
<a name="l00079"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">00079</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">SymmetricSecondRankTensor</a>  <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">Self</a>;
<a name="l00080"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#027758aa3ae57d6b1a7919fddf93d9a0">00080</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">FixedArray</a>&lt;TComponent,NDimension*(NDimension+1)/2&gt; <a class="code" href="classitk_1_1FixedArray.html">Superclass</a>;
<a name="l00081"></a>00081 
<a name="l00083"></a>00083   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#fdc2974d3965ffad07df0ea45398911d">itkStaticConstMacro</a>(Dimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, NDimension);
<a name="l00084"></a>00084   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#fdc2974d3965ffad07df0ea45398911d">itkStaticConstMacro</a>(InternalDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, NDimension*(NDimension+1)/2);
<a name="l00086"></a>00086 
<a name="l00088"></a>00088   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">FixedArray</a>&lt;TComponent,
<a name="l00089"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#246814d84e135c7c138e7f26b4b6abd4">00089</a>           <a class="code" href="itkMacro_8h.html#94ef2dc11d52c8ef0a78e34558feb8cb">itkGetStaticConstMacro</a>(InternalDimension)&gt; <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">BaseArray</a>;
<a name="l00090"></a>00090 
<a name="l00092"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#0f4eabcb986e2c8d882cea487ce7907d">00092</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">FixedArray&lt;TComponent, NDimension&gt;</a> <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">EigenValuesArrayType</a>;
<a name="l00093"></a>00093 
<a name="l00095"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#785aa50a3b29fe36005d5d698bad528c">00095</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">Matrix&lt;TComponent, NDimension, NDimension&gt;</a> <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">MatrixType</a>;
<a name="l00096"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#cb79c0ad1d331ec620d43d395520b25f">00096</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">Matrix&lt;TComponent, NDimension, NDimension&gt;</a> <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">EigenVectorsMatrixType</a>;
<a name="l00097"></a>00097 
<a name="l00099"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">00099</a>   <span class="keyword">typedef</span> TComponent <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a>;
<a name="l00100"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#63876c31fe1749fa11bbcc8b68e7ef1e">00100</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1FixedArray.html#32aedef2892b6559798047b240973e0c">Superclass::ValueType</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#63876c31fe1749fa11bbcc8b68e7ef1e">ValueType</a>;
<a name="l00101"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3fc5f8b41203e129d388df84252943f5">00101</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> NumericTraits&lt;ValueType&gt;::RealType <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3fc5f8b41203e129d388df84252943f5">AccumulateValueType</a>;
<a name="l00102"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">00102</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> NumericTraits&lt;ValueType&gt;::RealType <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">RealValueType</a>;
<a name="l00103"></a>00103 
<a name="l00104"></a>00104   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html" title="Find Eigen values of a real 2D symmetric matrix. It serves as a thread safe alternative...">SymmetricEigenAnalysis</a>&lt; <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">MatrixType</a>, 
<a name="l00105"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#d0b022810ff2a13af151a253bfce0fb7">00105</a>             <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">EigenValuesArrayType</a>, <a class="code" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed...">EigenVectorsMatrixType</a> &gt;  <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html" title="Find Eigen values of a real 2D symmetric matrix. It serves as a thread safe alternative...">SymmetricEigenAnalysisType</a>;
<a name="l00106"></a>00106 
<a name="l00108"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#615cf513e60b25d4e6e60d0ae027fc9b">00108</a>   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#615cf513e60b25d4e6e60d0ae027fc9b">SymmetricSecondRankTensor</a>() {this-&gt;<a class="code" href="classitk_1_1FixedArray.html#df1a100a801b61138258203b0b89a5c0">Fill</a>(0);}
<a name="l00109"></a>00109 
<a name="l00110"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#b351599cd9b8af8543b222dafd41aba5">00110</a>   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#b351599cd9b8af8543b222dafd41aba5">SymmetricSecondRankTensor</a> (<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a>&amp; r) { this-&gt;<a class="code" href="classitk_1_1FixedArray.html#df1a100a801b61138258203b0b89a5c0">Fill</a>(r); }
<a name="l00111"></a>00111   
<a name="l00112"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#7f66d4a458e2c477871348b1c4b6203c">00112</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#7f66d4a458e2c477871348b1c4b6203c">ComponentArrayType</a>[ <a class="code" href="itkMacro_8h.html#94ef2dc11d52c8ef0a78e34558feb8cb">itkGetStaticConstMacro</a>(InternalDimension) ];
<a name="l00113"></a>00113 
<a name="l00115"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#9da997a12c504e81ff83b5f1cac427d5">00115</a>   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#9da997a12c504e81ff83b5f1cac427d5">SymmetricSecondRankTensor</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">Self</a>&amp; r): <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">BaseArray</a>(r) {}
<a name="l00116"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#b94683171d9c7463d9d08fc08302d8c1">00116</a>   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#b94683171d9c7463d9d08fc08302d8c1">SymmetricSecondRankTensor</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#7f66d4a458e2c477871348b1c4b6203c">ComponentArrayType</a> r): <a class="code" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics.">BaseArray</a>(r) {}    
<a name="l00118"></a>00118 
<a name="l00120"></a>00120   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a>&amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#2c7c42b6a9d0d2561fe009570c07a9df">operator= </a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a>&amp; r);
<a name="l00121"></a>00121   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a>&amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#2c7c42b6a9d0d2561fe009570c07a9df">operator= </a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a>&amp; r);
<a name="l00122"></a>00122   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a>&amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#2c7c42b6a9d0d2561fe009570c07a9df">operator= </a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#7f66d4a458e2c477871348b1c4b6203c">ComponentArrayType</a> r);
<a name="l00124"></a>00124 
<a name="l00126"></a>00126   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#129d8a8b5f55310e31bfb344077d8e5e">operator+</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp;vec) <span class="keyword">const</span>;
<a name="l00127"></a>00127   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#29aaafa86acc12cac0bc277ebba96dbf">operator-</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp;vec) <span class="keyword">const</span>;
<a name="l00128"></a>00128   <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#9daeed7934619922c1f32cc4c57d347e">operator+=</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp;vec);
<a name="l00129"></a>00129   <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#f56591f74b1429dfc0eeaffdeed0bd0c">operator-=</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp;vec);
<a name="l00131"></a>00131 
<a name="l00133"></a>00133   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#963390a7ab3eb361a858f7d8113618c2">operator*</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">RealValueType</a> &amp; scalar ) <span class="keyword">const</span>;
<a name="l00134"></a>00134   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#db7339cc26beeee677bccf238d6b24b9">operator/</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">RealValueType</a> &amp; scalar ) <span class="keyword">const</span>;
<a name="l00135"></a>00135   <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c522bc6dd4f8b47e391f34a79751ed02">operator*=</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">RealValueType</a> &amp; scalar );
<a name="l00136"></a>00136   <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#fbec0782609deee7137d32cb26c98ca0">operator/=</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#c27b5dddd772f2b2a17d10fa041a350e">RealValueType</a> &amp; scalar );
<a name="l00138"></a>00138 
<a name="l00140"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#a5bb08b680d90371905f7479e565008a">00140</a>   <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#a5bb08b680d90371905f7479e565008a">GetNumberOfComponents</a>() 
<a name="l00141"></a>00141     { 
<a name="l00142"></a>00142     <span class="keywordflow">return</span> <a class="code" href="itkMacro_8h.html#94ef2dc11d52c8ef0a78e34558feb8cb">itkGetStaticConstMacro</a>(InternalDimension);
<a name="l00143"></a>00143     }
<a name="l00144"></a>00144 
<a name="l00146"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#fb1e9bb2537d99e771659b08b9997f47">00146</a>   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#fb1e9bb2537d99e771659b08b9997f47">GetNthComponent</a>(<span class="keywordtype">int</span> c)<span class="keyword"> const</span>
<a name="l00147"></a>00147 <span class="keyword">    </span>{ <span class="keywordflow">return</span> this-&gt;<a class="code" href="classitk_1_1FixedArray.html#6266788e1529e419e5028c15780d53de">operator[]</a>(c); }
<a name="l00148"></a>00148 
<a name="l00150"></a><a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#483ef394a0d4601a7f3ac3af5beb2b30">00150</a>   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#483ef394a0d4601a7f3ac3af5beb2b30">SetNthComponent</a>(<span class="keywordtype">int</span> c, <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#e64bfc0143bc29a01a34871e622e8d84">ComponentType</a>&amp; v)  
<a name="l00151"></a>00151     {  this-&gt;<a class="code" href="classitk_1_1FixedArray.html#6266788e1529e419e5028c15780d53de">operator[]</a>(c) = v; }
<a name="l00152"></a>00152 
<a name="l00154"></a>00154   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#63876c31fe1749fa11bbcc8b68e7ef1e">ValueType</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#758891c70e8bb9d550f7a37773fbe201">operator()</a>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> row, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> col );
<a name="l00155"></a>00155   <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#63876c31fe1749fa11bbcc8b68e7ef1e">ValueType</a> &amp; <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#758891c70e8bb9d550f7a37773fbe201">operator()</a>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> row, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> col ) <span class="keyword">const</span>;
<a name="l00157"></a>00157 
<a name="l00160"></a>00160   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#78a6fe5c891abebc6c1f145f5511e4a3">SetIdentity</a>();
<a name="l00161"></a>00161 
<a name="l00163"></a>00163   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3fc5f8b41203e129d388df84252943f5">AccumulateValueType</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#65ace12a2889bfdd12f374ccf3b6266f">GetTrace</a>() <span class="keyword">const</span>;
<a name="l00164"></a>00164 
<a name="l00166"></a>00166   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#a6f25db02794d1d1c9c40ef71aacc714">ComputeEigenValues</a>( <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#0f4eabcb986e2c8d882cea487ce7907d">EigenValuesArrayType</a> &amp; eigenValues ) <span class="keyword">const</span>;
<a name="l00167"></a>00167 
<a name="l00170"></a>00170   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#0c302bae00dc50112f4759cbc04c5dd7">ComputeEigenAnalysis</a>( <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#0f4eabcb986e2c8d882cea487ce7907d">EigenValuesArrayType</a> &amp; eigenValues,
<a name="l00171"></a>00171                              <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#cb79c0ad1d331ec620d43d395520b25f">EigenVectorsMatrixType</a> &amp; eigenVectors ) <span class="keyword">const</span>;
<a name="l00172"></a>00172 
<a name="l00174"></a>00174   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#eaa64fbd3e1d047f934d0aa9c3dac639">PreMultiply</a>( <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#785aa50a3b29fe36005d5d698bad528c">MatrixType</a> &amp; m ) <span class="keyword">const</span>;
<a name="l00175"></a>00175 
<a name="l00177"></a>00177   <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#3b17634fece687ccf521670f85a6530f">Self</a> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#68dfedb650a18805403f91fa9e663df4">PostMultiply</a>( <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html#785aa50a3b29fe36005d5d698bad528c">MatrixType</a> &amp; m ) <span class="keyword">const</span>;
<a name="l00178"></a>00178 
<a name="l00179"></a>00179 <span class="keyword">private</span>:
<a name="l00180"></a>00180 
<a name="l00181"></a>00181   
<a name="l00182"></a>00182 };
<a name="l00183"></a>00183 
<a name="l00184"></a>00184 
<a name="l00187"></a><a class="code" href="namespaceitk.html#13a248f33a9c696baca6a2bc613e100c">00187</a> <span class="keyword">typedef</span> std::ostream               <a class="code" href="namespaceitk.html#13a248f33a9c696baca6a2bc613e100c">OutputStreamType</a>;
<a name="l00188"></a><a class="code" href="namespaceitk.html#21d2f81c6c2744f9aa6d9d567966e1b9">00188</a> <span class="keyword">typedef</span> std::istream               <a class="code" href="namespaceitk.html#21d2f81c6c2744f9aa6d9d567966e1b9">InputStreamType</a>;
<a name="l00189"></a>00189 
<a name="l00190"></a>00190 <span class="keyword">template</span>&lt; <span class="keyword">typename</span> TComponent, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimension  &gt;  
<a name="l00191"></a>00191 <a class="code" href="itkWin32Header_8h.html#7d4384322557205d75f0719c012dded6">ITK_EXPORT</a> <a class="code" href="namespaceitk.html#13a248f33a9c696baca6a2bc613e100c">OutputStreamType</a>&amp; <a class="code" href="namespaceitk.html#1a9c40969bca6a50e9d688a35d3c4984">operator&lt;&lt;</a>(<a class="code" href="namespaceitk.html#13a248f33a9c696baca6a2bc613e100c">OutputStreamType</a>&amp; os, 
<a name="l00192"></a>00192               <span class="keyword">const</span> <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">SymmetricSecondRankTensor&lt;TComponent,NDimension&gt;</a> &amp; c); 
<a name="l00193"></a>00193 <span class="keyword">template</span>&lt; <span class="keyword">typename</span> TComponent, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimension  &gt;  
<a name="l00194"></a>00194 <a class="code" href="itkWin32Header_8h.html#7d4384322557205d75f0719c012dded6">ITK_EXPORT</a> <a class="code" href="namespaceitk.html#21d2f81c6c2744f9aa6d9d567966e1b9">InputStreamType</a>&amp; <a class="code" href="namespaceitk.html#687a81e337cd6bd3a5de73c2e31e6d84">operator&gt;&gt;</a>(<a class="code" href="namespaceitk.html#21d2f81c6c2744f9aa6d9d567966e1b9">InputStreamType</a>&amp; is, 
<a name="l00195"></a>00195                     <a class="code" href="classitk_1_1SymmetricSecondRankTensor.html" title="Represent a symmetric tensor of second rank.">SymmetricSecondRankTensor&lt;TComponent,NDimension&gt;</a> &amp; c); 
<a name="l00196"></a>00196 
<a name="l00197"></a>00197    
<a name="l00198"></a>00198 
<a name="l00199"></a>00199 } <span class="comment">// end namespace itk</span>
<a name="l00200"></a>00200 
<a name="l00201"></a>00201 <span class="preprocessor">#include "itkNumericTraitsTensorPixel.h"</span>
<a name="l00202"></a>00202 
<a name="l00203"></a>00203 
<a name="l00204"></a>00204 <span class="comment">// Define instantiation macro for this template.</span>
<a name="l00205"></a><a class="code" href="itkSymmetricSecondRankTensor_8h.html#e13389751471b0dcd27a6e8eb926b9c3">00205</a> <span class="preprocessor">#define ITK_TEMPLATE_SymmetricSecondRankTensor(_, EXPORT, x, y) namespace itk { \</span>
<a name="l00206"></a>00206 <span class="preprocessor">  _(2(class EXPORT SymmetricSecondRankTensor&lt; ITK_TEMPLATE_2 x &gt;)) \</span>
<a name="l00207"></a>00207 <span class="preprocessor">  namespace Templates { typedef SymmetricSecondRankTensor&lt; ITK_TEMPLATE_2 x &gt; \</span>
<a name="l00208"></a>00208 <span class="preprocessor">                                         SymmetricSecondRankTensor##y; } \</span>
<a name="l00209"></a>00209 <span class="preprocessor">  }</span>
<a name="l00210"></a>00210 <span class="preprocessor"></span>
<a name="l00211"></a>00211 <span class="preprocessor">#if ITK_TEMPLATE_EXPLICIT</span>
<a name="l00212"></a>00212 <span class="preprocessor"></span><span class="preprocessor"># include "Templates/itkSymmetricSecondRankTensor+-.h"</span>
<a name="l00213"></a>00213 <span class="preprocessor">#endif</span>
<a name="l00214"></a>00214 <span class="preprocessor"></span>
<a name="l00215"></a>00215 <span class="preprocessor">#if ITK_TEMPLATE_TXX</span>
<a name="l00216"></a>00216 <span class="preprocessor"></span><span class="preprocessor"># include "itkSymmetricSecondRankTensor.txx"</span>
<a name="l00217"></a>00217 <span class="preprocessor">#endif</span>
<a name="l00218"></a>00218 <span class="preprocessor"></span>
<a name="l00219"></a>00219 
<a name="l00220"></a>00220 <span class="preprocessor">#endif</span>
<a name="l00221"></a>00221 <span class="preprocessor"></span>
</pre></div></div>
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