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bug #478: fix regression in the eigen decomposition of zero matrices.
(grafted from 53026d29d4
)
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@@ -250,7 +250,7 @@ template<typename _MatrixType> class ComplexEigenSolver
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EigenvectorType m_matX;
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private:
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void doComputeEigenvectors(const RealScalar& matrixnorm);
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void doComputeEigenvectors(RealScalar matrixnorm);
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void sortEigenvalues(bool computeEigenvectors);
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};
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@@ -284,10 +284,12 @@ ComplexEigenSolver<MatrixType>::compute(const EigenBase<InputType>& matrix, bool
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template<typename MatrixType>
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void ComplexEigenSolver<MatrixType>::doComputeEigenvectors(const RealScalar& matrixnorm)
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void ComplexEigenSolver<MatrixType>::doComputeEigenvectors(RealScalar matrixnorm)
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{
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const Index n = m_eivalues.size();
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matrixnorm = numext::maxi(matrixnorm,(std::numeric_limits<RealScalar>::min)());
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// Compute X such that T = X D X^(-1), where D is the diagonal of T.
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// The matrix X is unit triangular.
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m_matX = EigenvectorType::Zero(n, n);
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@@ -248,12 +248,24 @@ template<typename MatrixType>
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template<typename InputType>
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RealSchur<MatrixType>& RealSchur<MatrixType>::compute(const EigenBase<InputType>& matrix, bool computeU)
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{
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const Scalar considerAsZero = (std::numeric_limits<Scalar>::min)();
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eigen_assert(matrix.cols() == matrix.rows());
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Index maxIters = m_maxIters;
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if (maxIters == -1)
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maxIters = m_maxIterationsPerRow * matrix.rows();
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Scalar scale = matrix.derived().cwiseAbs().maxCoeff();
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if(scale<considerAsZero)
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{
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m_matT.setZero(matrix.rows(),matrix.cols());
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if(computeU)
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m_matU.setIdentity(matrix.rows(),matrix.cols());
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m_info = Success;
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m_isInitialized = true;
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m_matUisUptodate = computeU;
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return *this;
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}
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// Step 1. Reduce to Hessenberg form
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m_hess.compute(matrix.derived()/scale);
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