diff options
Diffstat (limited to 'Eigen/src/Eigenvalues/RealQZ.h')
| -rw-r--r-- | Eigen/src/Eigenvalues/RealQZ.h | 20 |
1 files changed, 13 insertions, 7 deletions
diff --git a/Eigen/src/Eigenvalues/RealQZ.h b/Eigen/src/Eigenvalues/RealQZ.h index fd6efdd56..dcaa9fbd6 100644 --- a/Eigen/src/Eigenvalues/RealQZ.h +++ b/Eigen/src/Eigenvalues/RealQZ.h @@ -278,13 +278,14 @@ namespace Eigen { template<typename MatrixType> inline typename MatrixType::Index RealQZ<MatrixType>::findSmallSubdiagEntry(Index iu) { + using std::abs; Index res = iu; while (res > 0) { - Scalar s = internal::abs(m_S.coeff(res-1,res-1)) + internal::abs(m_S.coeff(res,res)); + Scalar s = abs(m_S.coeff(res-1,res-1)) + abs(m_S.coeff(res,res)); if (s == Scalar(0.0)) s = m_normOfS; - if (internal::abs(m_S.coeff(res,res-1)) < NumTraits<Scalar>::epsilon() * s) + if (abs(m_S.coeff(res,res-1)) < NumTraits<Scalar>::epsilon() * s) break; res--; } @@ -295,9 +296,10 @@ namespace Eigen { template<typename MatrixType> inline typename MatrixType::Index RealQZ<MatrixType>::findSmallDiagEntry(Index f, Index l) { + using std::abs; Index res = l; while (res >= f) { - if (internal::abs(m_T.coeff(res,res)) <= NumTraits<Scalar>::epsilon() * m_normOfT) + if (abs(m_T.coeff(res,res)) <= NumTraits<Scalar>::epsilon() * m_normOfT) break; res--; } @@ -308,8 +310,10 @@ namespace Eigen { template<typename MatrixType> inline void RealQZ<MatrixType>::splitOffTwoRows(Index i) { + using std::abs; + using std::sqrt; const Index dim=m_S.cols(); - if (internal::abs(m_S.coeff(i+1,i)==Scalar(0))) + if (abs(m_S.coeff(i+1,i)==Scalar(0))) return; Index z = findSmallDiagEntry(i,i+1); if (z==i-1) @@ -320,7 +324,7 @@ namespace Eigen { Scalar p = Scalar(0.5)*(STi(0,0)-STi(1,1)); Scalar q = p*p + STi(1,0)*STi(0,1); if (q>=0) { - Scalar z = internal::sqrt(q); + Scalar z = sqrt(q); // one QR-like iteration for ABi - lambda I // is enough - when we know exact eigenvalue in advance, // convergence is immediate @@ -393,7 +397,9 @@ namespace Eigen { /** \internal QR-like iterative step for block f..l */ template<typename MatrixType> - inline void RealQZ<MatrixType>::step(Index f, Index l, Index iter) { + inline void RealQZ<MatrixType>::step(Index f, Index l, Index iter) + { + using std::abs; const Index dim = m_S.cols(); // x, y, z @@ -411,7 +417,7 @@ namespace Eigen { a98=m_S.coeff(l-0,l-1), b77i=Scalar(1.0)/m_T.coeff(l-2,l-2), b88i=Scalar(1.0)/m_T.coeff(l-1,l-1); - Scalar ss = internal::abs(a87*b77i) + internal::abs(a98*b88i), + Scalar ss = abs(a87*b77i) + abs(a98*b88i), lpl = Scalar(1.5)*ss, ll = ss*ss; x = ll + a11*a11*b11i*b11i - lpl*a11*b11i + a12*a21*b11i*b22i |