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<div class="title">PolynomialSolverBase< _Scalar, _Deg > Class Template Reference<div class="ingroups"><a class="el" href="group__Polynomials__Module.html">Polynomials module</a></div></div> </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<typename _Scalar, int _Deg><br/>
class Eigen::PolynomialSolverBase< _Scalar, _Deg ></h3>
<p>Defined to be inherited by polynomial solvers: it provides convenient methods such as. </p>
<ul>
<li>real roots,</li>
<li>greatest, smallest complex roots,</li>
<li>real roots with greatest, smallest absolute real value,</li>
<li>greatest, smallest real roots.</li>
</ul>
<p>It stores the set of roots as a vector of complexes. </p>
</div><div id="dynsection-0" onclick="return toggleVisibility(this)" class="dynheader closed" style="cursor:pointer;">
<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for PolynomialSolverBase< _Scalar, _Deg >:</div>
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<div class="center"><img src="classEigen_1_1PolynomialSolverBase__inherit__graph.png" border="0" usemap="#PolynomialSolverBase_3_01__Scalar_00_01__Deg_01_4_inherit__map" alt="Inheritance graph"/></div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a39f7bf9d7209ad81023ac260c0c73b95"><td class="memItemLeft" align="right" valign="top">const RealScalar & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a39f7bf9d7209ad81023ac260c0c73b95">absGreatestRealRoot</a> (bool &hasArealRoot, const RealScalar &absImaginaryThreshold=NumTraits< Scalar >::dummy_precision()) const </td></tr>
<tr class="separator:a39f7bf9d7209ad81023ac260c0c73b95"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9d126b6ec7d4272a57c2599290eaded8"><td class="memItemLeft" align="right" valign="top">const RealScalar & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a9d126b6ec7d4272a57c2599290eaded8">absSmallestRealRoot</a> (bool &hasArealRoot, const RealScalar &absImaginaryThreshold=NumTraits< Scalar >::dummy_precision()) const </td></tr>
<tr class="separator:a9d126b6ec7d4272a57c2599290eaded8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a98061536184cd108e00753d4218fbbc1"><td class="memItemLeft" align="right" valign="top">const RealScalar & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a98061536184cd108e00753d4218fbbc1">greatestRealRoot</a> (bool &hasArealRoot, const RealScalar &absImaginaryThreshold=NumTraits< Scalar >::dummy_precision()) const </td></tr>
<tr class="separator:a98061536184cd108e00753d4218fbbc1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1057f89aeacfd843351d5016dda4a047"><td class="memItemLeft" align="right" valign="top">const RootType & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a1057f89aeacfd843351d5016dda4a047">greatestRoot</a> () const </td></tr>
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<tr class="memitem:a152ced5a7f96ba18528e540cd0c7e6ce"><td class="memTemplParams" colspan="2">template<typename Stl_back_insertion_sequence > </td></tr>
<tr class="memitem:a152ced5a7f96ba18528e540cd0c7e6ce"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a152ced5a7f96ba18528e540cd0c7e6ce">realRoots</a> (Stl_back_insertion_sequence &bi_seq, const RealScalar &absImaginaryThreshold=NumTraits< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:a170e917417495c3d536ae6a1b75e9d1e"><td class="memItemLeft" align="right" valign="top">const RootsType & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a170e917417495c3d536ae6a1b75e9d1e">roots</a> () const </td></tr>
<tr class="separator:a170e917417495c3d536ae6a1b75e9d1e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a399ac0a070144fdb3b7266be28f47e8b"><td class="memItemLeft" align="right" valign="top">const RealScalar & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#a399ac0a070144fdb3b7266be28f47e8b">smallestRealRoot</a> (bool &hasArealRoot, const RealScalar &absImaginaryThreshold=NumTraits< Scalar >::dummy_precision()) const </td></tr>
<tr class="separator:a399ac0a070144fdb3b7266be28f47e8b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afcc2f9f37f2641d8adc18e6a4be2425b"><td class="memItemLeft" align="right" valign="top">const RootType & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PolynomialSolverBase.html#afcc2f9f37f2641d8adc18e6a4be2425b">smallestRoot</a> () const </td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">const RealScalar& absGreatestRealRoot </td>
<td>(</td>
<td class="paramtype">bool & </td>
<td class="paramname"><em>hasArealRoot</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>absImaginaryThreshold</em> = <code>NumTraits<Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd>a real root with greatest absolute magnitude. A real root is defined as the real part of a complex root with absolute imaginary part smallest than absImaginaryThreshold. absImaginaryThreshold takes the dummy_precision associated with the _Scalar template parameter of the <a class="el" href="classEigen_1_1PolynomialSolver.html" title="A polynomial solver. ">PolynomialSolver</a> class as the default value. If no real root is found the boolean hasArealRoot is set to false and the real part of the root with smallest absolute imaginary part is returned instead.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">hasArealRoot</td><td>: boolean true if a real root is found according to the absImaginaryThreshold criterion, false otherwise. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">absImaginaryThreshold</td><td>: threshold on the absolute imaginary part to decide whether or not a root is real. </td></tr>
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</dd>
</dl>
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<td class="memname">const RealScalar& absSmallestRealRoot </td>
<td>(</td>
<td class="paramtype">bool & </td>
<td class="paramname"><em>hasArealRoot</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>absImaginaryThreshold</em> = <code>NumTraits<Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd>a real root with smallest absolute magnitude. A real root is defined as the real part of a complex root with absolute imaginary part smallest than absImaginaryThreshold. absImaginaryThreshold takes the dummy_precision associated with the _Scalar template parameter of the <a class="el" href="classEigen_1_1PolynomialSolver.html" title="A polynomial solver. ">PolynomialSolver</a> class as the default value. If no real root is found the boolean hasArealRoot is set to false and the real part of the root with smallest absolute imaginary part is returned instead.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">hasArealRoot</td><td>: boolean true if a real root is found according to the absImaginaryThreshold criterion, false otherwise. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">absImaginaryThreshold</td><td>: threshold on the absolute imaginary part to decide whether or not a root is real. </td></tr>
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</dd>
</dl>
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<td class="memname">const RealScalar& greatestRealRoot </td>
<td>(</td>
<td class="paramtype">bool & </td>
<td class="paramname"><em>hasArealRoot</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>absImaginaryThreshold</em> = <code>NumTraits<Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd>the real root with greatest value. A real root is defined as the real part of a complex root with absolute imaginary part smallest than absImaginaryThreshold. absImaginaryThreshold takes the dummy_precision associated with the _Scalar template parameter of the <a class="el" href="classEigen_1_1PolynomialSolver.html" title="A polynomial solver. ">PolynomialSolver</a> class as the default value. If no real root is found the boolean hasArealRoot is set to false and the real part of the root with smallest absolute imaginary part is returned instead.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">hasArealRoot</td><td>: boolean true if a real root is found according to the absImaginaryThreshold criterion, false otherwise. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">absImaginaryThreshold</td><td>: threshold on the absolute imaginary part to decide whether or not a root is real. </td></tr>
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</dd>
</dl>
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<td class="memname">const RootType& greatestRoot </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the complex root with greatest norm. </dd></dl>
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<td class="memname">void realRoots </td>
<td>(</td>
<td class="paramtype">Stl_back_insertion_sequence & </td>
<td class="paramname"><em>bi_seq</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>absImaginaryThreshold</em> = <code>NumTraits<Scalar>::dummy_precision()</code> </td>
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<p>Clear and fills the back insertion sequence with the real roots of the polynomial i.e. the real part of the complex roots that have an imaginary part which absolute value is smaller than absImaginaryThreshold. absImaginaryThreshold takes the dummy_precision associated with the _Scalar template parameter of the <a class="el" href="classEigen_1_1PolynomialSolver.html" title="A polynomial solver. ">PolynomialSolver</a> class as the default value.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">bi_seq</td><td>: the back insertion sequence (stl concept) </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">absImaginaryThreshold</td><td>: the maximum bound of the imaginary part of a complex number that is considered as real. </td></tr>
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<td class="memname">const RootsType& roots </td>
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<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the complex roots of the polynomial </dd></dl>
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<td class="memname">const RealScalar& smallestRealRoot </td>
<td>(</td>
<td class="paramtype">bool & </td>
<td class="paramname"><em>hasArealRoot</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>absImaginaryThreshold</em> = <code>NumTraits<Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd>the real root with smallest value. A real root is defined as the real part of a complex root with absolute imaginary part smallest than absImaginaryThreshold. absImaginaryThreshold takes the dummy_precision associated with the _Scalar template parameter of the <a class="el" href="classEigen_1_1PolynomialSolver.html" title="A polynomial solver. ">PolynomialSolver</a> class as the default value. If no real root is found the boolean hasArealRoot is set to false and the real part of the root with smallest absolute imaginary part is returned instead.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">hasArealRoot</td><td>: boolean true if a real root is found according to the absImaginaryThreshold criterion, false otherwise. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">absImaginaryThreshold</td><td>: threshold on the absolute imaginary part to decide whether or not a root is real. </td></tr>
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</dd>
</dl>
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<td class="memname">const RootType& smallestRoot </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the complex root with smallest norm. </dd></dl>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="PolynomialSolver_8h_source.html">PolynomialSolver.h</a></li>
</ul>
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