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<h1>itkSymmetricEigenAnalysis.h</h1><a href="itkSymmetricEigenAnalysis_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 & Registration Toolkit</span>
<a name="l00004"></a>00004 <span class="comment"> Module: $RCSfile: itkSymmetricEigenAnalysis.h,v $</span>
<a name="l00005"></a>00005 <span class="comment"> Language: C++</span>
<a name="l00006"></a>00006 <span class="comment"> Date: $Date: 2005-07-09 22:43:35 $</span>
<a name="l00007"></a>00007 <span class="comment"> Version: $Revision: 1.5 $</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 __itkSymmetricEigenAnalysis_h</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor">#define __itkSymmetricEigenAnalysis_h</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span>
<a name="l00020"></a>00020 <span class="preprocessor">#include "<a class="code" href="itkMacro_8h.html">itkMacro.h</a>"</span>
<a name="l00021"></a>00021
<a name="l00022"></a>00022 <span class="keyword">namespace </span>itk
<a name="l00023"></a>00023 {
<a name="l00024"></a>00024
<a name="l00059"></a>00059 <span class="keyword">template</span> < <span class="keyword">typename</span> TMatrix, <span class="keyword">typename</span> TVector, <span class="keyword">typename</span> TEigenMatrix=TMatrix >
<a name="l00060"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html">00060</a> <span class="keyword">class </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>
<a name="l00061"></a>00061 {
<a name="l00062"></a>00062 <span class="keyword">public</span>:
<a name="l00063"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca0534">00063</a> <span class="keyword">typedef</span> <span class="keyword">enum</span> {
<a name="l00064"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">00064</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">OrderByValue</a>=1,
<a name="l00065"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053480a542e28c5052eeb6e73cc4928176a0">00065</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053480a542e28c5052eeb6e73cc4928176a0">OrderByMagnitude</a>,
<a name="l00066"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053453b44a624e018b67889ab68df7bfa49d">00066</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053453b44a624e018b67889ab68df7bfa49d">DoNotOrder</a>
<a name="l00067"></a>00067 }<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca0534">EigenValueOrderType</a>;
<a name="l00068"></a>00068
<a name="l00069"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#396d5b80364d766f7cc792d626dae215">00069</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#396d5b80364d766f7cc792d626dae215">SymmetricEigenAnalysis</a>():
<a name="l00070"></a>00070 m_Dimension(0),
<a name="l00071"></a>00071 m_Order(0),
<a name="l00072"></a>00072 m_OrderEigenValues(<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">OrderByValue</a>)
<a name="l00073"></a>00073 {} ;
<a name="l00074"></a>00074
<a name="l00075"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#66972d1a76f2d8eb42447ec2aa57d48d">00075</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#396d5b80364d766f7cc792d626dae215">SymmetricEigenAnalysis</a>( <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> dimension ):
<a name="l00076"></a>00076 m_Dimension(dimension),
<a name="l00077"></a>00077 m_Order(dimension),
<a name="l00078"></a>00078 m_OrderEigenValues(<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">OrderByValue</a>)
<a name="l00079"></a>00079 {} ;
<a name="l00080"></a>00080
<a name="l00081"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#e070ef9a677aa3c19385b5b8fd302ecf">00081</a> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#e070ef9a677aa3c19385b5b8fd302ecf">~SymmetricEigenAnalysis</a>() {};
<a name="l00082"></a>00082
<a name="l00083"></a>00083 <span class="keyword">typedef</span> TMatrix <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#9d96a4320ef48fad3c3ff5ebc8dc9c84">MatrixType</a>;
<a name="l00084"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#05386095860aa8c85f43552f559a0863">00084</a> <span class="keyword">typedef</span> TEigenMatrix <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#05386095860aa8c85f43552f559a0863">EigenMatrixType</a>;
<a name="l00085"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">00085</a> <span class="keyword">typedef</span> TVector <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">VectorType</a>;
<a name="l00086"></a>00086
<a name="l00087"></a>00087
<a name="l00088"></a>00088
<a name="l00102"></a>00102 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#d095004a67066b24eb2e8fc5a9cdd4e2">ComputeEigenValues</a>(
<a name="l00103"></a>00103 <span class="keyword">const</span> TMatrix & <a class="code" href="classA.html">A</a>,
<a name="l00104"></a>00104 TVector & EigenValues) <span class="keyword">const</span>;
<a name="l00105"></a>00105
<a name="l00126"></a>00126 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#0aa8cac66965c6a1c340ca3413629ebe">ComputeEigenValuesAndVectors</a>(
<a name="l00127"></a>00127 <span class="keyword">const</span> TMatrix & <a class="code" href="classA.html">A</a>,
<a name="l00128"></a>00128 TVector & EigenValues,
<a name="l00129"></a>00129 TEigenMatrix & EigenVectors ) <span class="keyword">const</span>;
<a name="l00130"></a>00130
<a name="l00131"></a>00131
<a name="l00133"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#77109a372c5b88cc76264415df6ab23a">00133</a> <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#77109a372c5b88cc76264415df6ab23a">SetOrder</a>(<span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n)
<a name="l00134"></a>00134 {
<a name="l00135"></a>00135 m_Order = n;
<a name="l00136"></a>00136 }
<a name="l00137"></a>00137
<a name="l00141"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#cbed216ff01d6bef49d77a1c4ae80b9a">00141</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#cbed216ff01d6bef49d77a1c4ae80b9a">GetOrder</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_Order; }
<a name="l00142"></a>00142
<a name="l00146"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#7940261268fb1ec182b94a5e4eebb345">00146</a> <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#7940261268fb1ec182b94a5e4eebb345">SetOrderEigenValues</a>( <span class="keyword">const</span> <span class="keywordtype">bool</span> b )
<a name="l00147"></a>00147 {
<a name="l00148"></a>00148 <span class="keywordflow">if</span> (b) { m_OrderEigenValues = <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">OrderByValue</a>; }
<a name="l00149"></a>00149 <span class="keywordflow">else</span> { m_OrderEigenValues = <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053453b44a624e018b67889ab68df7bfa49d">DoNotOrder</a>; }
<a name="l00150"></a>00150 }
<a name="l00151"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#999e7151b1299764d2be95a8987c5f30">00151</a> <span class="keywordtype">bool</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#999e7151b1299764d2be95a8987c5f30">GetOrderEigenValues</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (m_OrderEigenValues == <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca05345ad7ae0e043886592ca8451e00091939">OrderByValue</a>); }
<a name="l00153"></a>00153
<a name="l00157"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#01cf8d66b94ed4992154de9ec297e6ee">00157</a> <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#01cf8d66b94ed4992154de9ec297e6ee">SetOrderEigenMagnitudes</a>( <span class="keyword">const</span> <span class="keywordtype">bool</span> b )
<a name="l00158"></a>00158 {
<a name="l00159"></a>00159 <span class="keywordflow">if</span> (b) { m_OrderEigenValues = <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053480a542e28c5052eeb6e73cc4928176a0">OrderByMagnitude</a>; }
<a name="l00160"></a>00160 <span class="keywordflow">else</span> { m_OrderEigenValues = <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053453b44a624e018b67889ab68df7bfa49d">DoNotOrder</a>; }
<a name="l00161"></a>00161 }
<a name="l00162"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#b83a93af0c3fbc39cbcfe586e4e22fd8">00162</a> <span class="keywordtype">bool</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#b83a93af0c3fbc39cbcfe586e4e22fd8">GetOrderEigenMagnitudes</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (m_OrderEigenValues == <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca053480a542e28c5052eeb6e73cc4928176a0">OrderByMagnitude</a>); }
<a name="l00164"></a>00164
<a name="l00167"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#0e491bba952259d5f0f06fd1f5965959">00167</a> <span class="keywordtype">void</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#0e491bba952259d5f0f06fd1f5965959">SetDimension</a>( <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n )
<a name="l00168"></a>00168 {
<a name="l00169"></a>00169 m_Dimension = n;
<a name="l00170"></a>00170 <span class="keywordflow">if</span> (m_Order == 0 )
<a name="l00171"></a>00171 {
<a name="l00172"></a>00172 m_Order = m_Dimension;
<a name="l00173"></a>00173 }
<a name="l00174"></a>00174 }
<a name="l00176"></a>00176
<a name="l00179"></a><a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#9dccc25397f2663133fadcc35cbddcfd">00179</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#9dccc25397f2663133fadcc35cbddcfd">GetDimension</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_Dimension; }
<a name="l00180"></a>00180
<a name="l00181"></a>00181
<a name="l00182"></a>00182 <span class="keyword">private</span>:
<a name="l00183"></a>00183 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_Dimension;
<a name="l00184"></a>00184 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_Order;
<a name="l00185"></a>00185 <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2dfed39f005f7a14cb6449d147ca0534">EigenValueOrderType</a> m_OrderEigenValues;
<a name="l00186"></a>00186
<a name="l00187"></a>00187
<a name="l00207"></a>00207 <span class="keywordtype">void</span> ReduceToTridiagonalMatrix(<span class="keywordtype">double</span> *inputMatrix, <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">VectorType</a> &d,
<a name="l00208"></a>00208 <span class="keywordtype">double</span> *e, <span class="keywordtype">double</span> *e2) <span class="keyword">const</span>;
<a name="l00209"></a>00209
<a name="l00210"></a>00210
<a name="l00211"></a>00211
<a name="l00233"></a>00233 <span class="keywordtype">void</span> ReduceToTridiagonalMatrixAndGetTransformation(
<a name="l00234"></a>00234 <span class="keywordtype">double</span> *inputMatrix, <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">VectorType</a> &diagonalElements,
<a name="l00235"></a>00235 <span class="keywordtype">double</span> *subDiagonalElements, <span class="keywordtype">double</span> *transformMatrix) <span class="keyword">const</span>;
<a name="l00236"></a>00236
<a name="l00237"></a>00237
<a name="l00238"></a>00238
<a name="l00239"></a>00239 <span class="comment">/* Finds the eigenvalues of a symmetric tridiagonal matrix by the ql method.</span>
<a name="l00240"></a>00240 <span class="comment"> *</span>
<a name="l00241"></a>00241 <span class="comment"> * On input:</span>
<a name="l00242"></a>00242 <span class="comment"> * 'd' contains the diagonal elements of the input matrix. </span>
<a name="l00243"></a>00243 <span class="comment"> * 'e' contains the subdiagonal elements of the input matrix </span>
<a name="l00244"></a>00244 <span class="comment"> * in its last n-1 positions. e(1) is arbitrary. </span>
<a name="l00245"></a>00245 <span class="comment"> * On Output:</span>
<a name="l00246"></a>00246 <span class="comment"> * 'd' contains the eigenvalues.</span>
<a name="l00247"></a>00247 <span class="comment"> * 'e' has been destroyed. </span>
<a name="l00248"></a>00248 <span class="comment"> * </span>
<a name="l00249"></a>00249 <span class="comment"> * Returns: </span>
<a name="l00250"></a>00250 <span class="comment"> * zero for normal return, </span>
<a name="l00251"></a>00251 <span class="comment"> * j if the j-th eigenvalue has not been </span>
<a name="l00252"></a>00252 <span class="comment"> * determined after 30 iterations. </span>
<a name="l00253"></a>00253 <span class="comment"> * </span>
<a name="l00254"></a>00254 <span class="comment"> * </span>
<a name="l00255"></a>00255 <span class="comment"> * Reference</span>
<a name="l00256"></a>00256 <span class="comment"> * this subroutine is a translation of the algol procedure tql1, </span>
<a name="l00257"></a>00257 <span class="comment"> * num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and </span>
<a name="l00258"></a>00258 <span class="comment"> * wilkinson. </span>
<a name="l00259"></a>00259 <span class="comment"> * handbook for auto. comp., vol.ii-linear algebra, 227-240(1971). </span>
<a name="l00260"></a>00260 <span class="comment"> * </span>
<a name="l00261"></a>00261 <span class="comment"> * Questions and comments should be directed to burton s. garbow, </span>
<a name="l00262"></a>00262 <span class="comment"> * mathematics and computer science div, argonne national laboratory </span>
<a name="l00263"></a>00263 <span class="comment"> * this version dated august 1983. </span>
<a name="l00264"></a>00264 <span class="comment"> * </span>
<a name="l00265"></a>00265 <span class="comment"> * Function Adapted from netlib/tql1.c. </span>
<a name="l00266"></a>00266 <span class="comment"> * [Changed: remove static vars, enforce const correctness. </span>
<a name="l00267"></a>00267 <span class="comment"> * Use vnl routines as necessary] */</span>
<a name="l00268"></a>00268 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ComputeEigenValuesUsingQL(
<a name="l00269"></a>00269 <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">VectorType</a> &d, <span class="keywordtype">double</span> *e) <span class="keyword">const</span>;
<a name="l00270"></a>00270
<a name="l00271"></a>00271
<a name="l00272"></a>00272 <span class="comment">/* Finds the eigenvalues and eigenvectors of a symmetric tridiagonal matrix </span>
<a name="l00273"></a>00273 <span class="comment"> * by the ql method.</span>
<a name="l00274"></a>00274 <span class="comment"> *</span>
<a name="l00275"></a>00275 <span class="comment"> * On input:</span>
<a name="l00276"></a>00276 <span class="comment"> * 'd' contains the diagonal elements of the input matrix. </span>
<a name="l00277"></a>00277 <span class="comment"> * 'e' contains the subdiagonal elements of the input matrix </span>
<a name="l00278"></a>00278 <span class="comment"> * in its last n-1 positions. e(1) is arbitrary. </span>
<a name="l00279"></a>00279 <span class="comment"> * 'z' contains the transformation matrix produced in the reduction by </span>
<a name="l00280"></a>00280 <span class="comment"> * ReduceToTridiagonalMatrixAndGetTransformation(), if performed. If the </span>
<a name="l00281"></a>00281 <span class="comment"> * eigenvectors of the tridiagonal matrix are desired, z must contain </span>
<a name="l00282"></a>00282 <span class="comment"> * the identity matrix. </span>
<a name="l00283"></a>00283 <span class="comment"></span>
<a name="l00284"></a>00284 <span class="comment"> * On Output:</span>
<a name="l00285"></a>00285 <span class="comment"> * 'd' contains the eigenvalues.</span>
<a name="l00286"></a>00286 <span class="comment"> * 'e' has been destroyed. </span>
<a name="l00287"></a>00287 <span class="comment"> * 'z' contains orthonormal eigenvectors of the symmetric tridiagonal </span>
<a name="l00288"></a>00288 <span class="comment"> * (or full) matrix. </span>
<a name="l00289"></a>00289 <span class="comment"> * </span>
<a name="l00290"></a>00290 <span class="comment"> * Returns: </span>
<a name="l00291"></a>00291 <span class="comment"> * zero for normal return, </span>
<a name="l00292"></a>00292 <span class="comment"> * j if the j-th eigenvalue has not been </span>
<a name="l00293"></a>00293 <span class="comment"> * determined after 1000 iterations. </span>
<a name="l00294"></a>00294 <span class="comment"> * </span>
<a name="l00295"></a>00295 <span class="comment"> * Reference</span>
<a name="l00296"></a>00296 <span class="comment"> * this subroutine is a translation of the algol procedure tql1, </span>
<a name="l00297"></a>00297 <span class="comment"> * num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and </span>
<a name="l00298"></a>00298 <span class="comment"> * wilkinson. </span>
<a name="l00299"></a>00299 <span class="comment"> * handbook for auto. comp., vol.ii-linear algebra, 227-240(1971). </span>
<a name="l00300"></a>00300 <span class="comment"> * </span>
<a name="l00301"></a>00301 <span class="comment"> * Questions and comments should be directed to burton s. garbow, </span>
<a name="l00302"></a>00302 <span class="comment"> * mathematics and computer science div, argonne national laboratory </span>
<a name="l00303"></a>00303 <span class="comment"> * this version dated august 1983. </span>
<a name="l00304"></a>00304 <span class="comment"> * </span>
<a name="l00305"></a>00305 <span class="comment"> * Function Adapted from netlib/tql2.c. </span>
<a name="l00306"></a>00306 <span class="comment"> * [Changed: remove static vars, enforce const correctness. </span>
<a name="l00307"></a>00307 <span class="comment"> * Use vnl routines as necessary] </span>
<a name="l00308"></a>00308 <span class="comment"> */</span>
<a name="l00309"></a>00309 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ComputeEigenValuesAndVectorsUsingQL(
<a name="l00310"></a>00310 <a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#2248d7e3e60a18d48c750b5dd4f5d88e">VectorType</a> &d, <span class="keywordtype">double</span> *e, <span class="keywordtype">double</span> *z) <span class="keyword">const</span>;
<a name="l00311"></a>00311
<a name="l00312"></a>00312 };
<a name="l00313"></a>00313
<a name="l00314"></a>00314 <span class="keyword">template</span>< <span class="keyword">typename</span> TMatrix, <span class="keyword">typename</span> TVector, <span class="keyword">typename</span> TEigenMatrix >
<a name="l00315"></a><a class="code" href="namespaceitk.html#1ada3b53a11b4624a97bcf06117a3256">00315</a> std::ostream & <a class="code" href="namespaceitk.html#1a9c40969bca6a50e9d688a35d3c4984">operator<<</a>(std::ostream& os,
<a name="l00316"></a>00316 <span class="keyword">const</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< TMatrix, TVector, TEigenMatrix ></a> &s)
<a name="l00317"></a>00317 {
<a name="l00318"></a>00318 os << <span class="stringliteral">"[ClassType: SymmetricEigenAnalysis]"</span> << std::endl;
<a name="l00319"></a>00319 os << <span class="stringliteral">" Dimension : "</span> << s.<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#9dccc25397f2663133fadcc35cbddcfd">GetDimension</a>() << std::endl;
<a name="l00320"></a>00320 os << <span class="stringliteral">" Order : "</span> << s.<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#cbed216ff01d6bef49d77a1c4ae80b9a">GetOrder</a>() << std::endl;
<a name="l00321"></a>00321 os << <span class="stringliteral">" OrderEigenValues: "</span> << s.<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#999e7151b1299764d2be95a8987c5f30">GetOrderEigenValues</a>() << std::endl;
<a name="l00322"></a>00322 os << <span class="stringliteral">" OrderEigenMagnitudes: "</span> << s.<a class="code" href="classitk_1_1SymmetricEigenAnalysis.html#b83a93af0c3fbc39cbcfe586e4e22fd8">GetOrderEigenMagnitudes</a>() << std::endl;
<a name="l00323"></a>00323 <span class="keywordflow">return</span> os;
<a name="l00324"></a>00324 }
<a name="l00325"></a>00325
<a name="l00326"></a>00326 } <span class="comment">// end namespace itk</span>
<a name="l00327"></a>00327
<a name="l00328"></a>00328
<a name="l00329"></a>00329 <span class="preprocessor">#ifndef ITK_MANUAL_INSTANTIATION</span>
<a name="l00330"></a>00330 <span class="preprocessor"></span><span class="preprocessor">#include "itkSymmetricEigenAnalysis.txx"</span>
<a name="l00331"></a>00331 <span class="preprocessor">#endif</span>
<a name="l00332"></a>00332 <span class="preprocessor"></span>
<a name="l00333"></a>00333 <span class="preprocessor">#endif</span>
<a name="l00334"></a>00334 <span class="preprocessor"></span>
<a name="l00335"></a>00335
</pre></div></div>
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