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Diffstat (limited to 'extern/Eigen3/Eigen/src/SVD/JacobiSVD.h')
-rw-r--r--extern/Eigen3/Eigen/src/SVD/JacobiSVD.h17
1 files changed, 14 insertions, 3 deletions
diff --git a/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h b/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
index 5f61399988c..3c423095c31 100644
--- a/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
+++ b/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
@@ -590,6 +590,9 @@ JacobiSVD<MatrixType, QRPreconditioner>::compute(const MatrixType& matrix, unsig
// only worsening the precision of U and V as we accumulate more rotations
const RealScalar precision = RealScalar(2) * NumTraits<Scalar>::epsilon();
+ // limit for very small denormal numbers to be considered zero in order to avoid infinite loops (see bug 286)
+ const RealScalar considerAsZero = RealScalar(2) * std::numeric_limits<RealScalar>::denorm_min();
+
/*** step 1. The R-SVD step: we use a QR decomposition to reduce to the case of a square matrix */
if(!internal::qr_preconditioner_impl<MatrixType, QRPreconditioner, internal::PreconditionIfMoreColsThanRows>::run(*this, matrix)
@@ -617,10 +620,11 @@ JacobiSVD<MatrixType, QRPreconditioner>::compute(const MatrixType& matrix, unsig
{
// if this 2x2 sub-matrix is not diagonal already...
// notice that this comparison will evaluate to false if any NaN is involved, ensuring that NaN's don't
- // keep us iterating forever.
+ // keep us iterating forever. Similarly, small denormal numbers are considered zero.
using std::max;
- if((max)(internal::abs(m_workMatrix.coeff(p,q)),internal::abs(m_workMatrix.coeff(q,p)))
- > (max)(internal::abs(m_workMatrix.coeff(p,p)),internal::abs(m_workMatrix.coeff(q,q)))*precision)
+ RealScalar threshold = (max)(considerAsZero, precision * (max)(internal::abs(m_workMatrix.coeff(p,p)),
+ internal::abs(m_workMatrix.coeff(q,q))));
+ if((max)(internal::abs(m_workMatrix.coeff(p,q)),internal::abs(m_workMatrix.coeff(q,p))) > threshold)
{
finished = false;
@@ -704,6 +708,13 @@ struct solve_retval<JacobiSVD<_MatrixType, QRPreconditioner>, Rhs>
};
} // end namespace internal
+/** \svd_module
+ *
+ * \return the singular value decomposition of \c *this computed by two-sided
+ * Jacobi transformations.
+ *
+ * \sa class JacobiSVD
+ */
template<typename Derived>
JacobiSVD<typename MatrixBase<Derived>::PlainObject>
MatrixBase<Derived>::jacobiSvd(unsigned int computationOptions) const