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bug #1013: fix 2x2 direct eigensolver for identical eiegnvalues

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This commit is contained in:
Gael Guennebaud 2015-05-07 15:55:12 +02:00
parent c2107d30ce
commit 4a936974a5
1 changed files with 19 additions and 11 deletions
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30
Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
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@ -739,6 +739,7 @@ struct direct_selfadjoint_eigenvalues<SolverType,2,false>
static inline void run(SolverType& solver, const MatrixType& mat, int options)
{
EIGEN_USING_STD_MATH(sqrt);
EIGEN_USING_STD_MATH(abs);
eigen_assert(mat.cols() == 2 && mat.cols() == mat.rows());
eigen_assert((options&~(EigVecMask|GenEigMask))==0
@ -760,22 +761,29 @@ struct direct_selfadjoint_eigenvalues<SolverType,2,false>
// compute the eigen vectors
if(computeEigenvectors)
{
scaledMat.diagonal().array () -= eivals(1);
Scalar a2 = numext::abs2(scaledMat(0,0));
Scalar c2 = numext::abs2(scaledMat(1,1));
Scalar b2 = numext::abs2(scaledMat(1,0));
if(a2>c2)
if((eivals(1)-eivals(0))<=abs(eivals(1))*Eigen::NumTraits<Scalar>::epsilon())
{
eivecs.col(1) << -scaledMat(1,0), scaledMat(0,0);
eivecs.col(1) /= sqrt(a2+b2);
eivecs.setIdentity();
}
else
{
eivecs.col(1) << -scaledMat(1,1), scaledMat(1,0);
eivecs.col(1) /= sqrt(c2+b2);
}
scaledMat.diagonal().array () -= eivals(1);
Scalar a2 = numext::abs2(scaledMat(0,0));
Scalar c2 = numext::abs2(scaledMat(1,1));
Scalar b2 = numext::abs2(scaledMat(1,0));
if(a2>c2)
{
eivecs.col(1) << -scaledMat(1,0), scaledMat(0,0);
eivecs.col(1) /= sqrt(a2+b2);
}
else
{
eivecs.col(1) << -scaledMat(1,1), scaledMat(1,0);
eivecs.col(1) /= sqrt(c2+b2);
}
eivecs.col(0) << eivecs.col(1).unitOrthogonal();
eivecs.col(0) << eivecs.col(1).unitOrthogonal();
}
}
// Rescale back to the original size.