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merge with main branch

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This commit is contained in:
Gael Guennebaud
2013-07-17 13:21:35 +02:00
parent 231d4a6fda 20e535e142
commit 2f593ee67c
245 changed files with 8361 additions and 2515 deletions
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23
Eigen/src/SVD/JacobiSVD.h
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@@ -374,7 +374,7 @@ struct svd_precondition_2x2_block_to_be_real<MatrixType, QRPreconditioner, true>
using std::sqrt;
Scalar z;
JacobiRotation<Scalar> rot;
RealScalar n = sqrt(abs2(work_matrix.coeff(p,p)) + abs2(work_matrix.coeff(q,p)));
RealScalar n = sqrt(numext::abs2(work_matrix.coeff(p,p)) + numext::abs2(work_matrix.coeff(q,p)));
if(n==0)
{
z = abs(work_matrix.coeff(p,q)) / work_matrix.coeff(p,q);
@@ -413,8 +413,8 @@ void real_2x2_jacobi_svd(const MatrixType& matrix, Index p, Index q,
{
using std::sqrt;
Matrix<RealScalar,2,2> m;
m << real(matrix.coeff(p,p)), real(matrix.coeff(p,q)),
real(matrix.coeff(q,p)), real(matrix.coeff(q,q));
m << numext::real(matrix.coeff(p,p)), numext::real(matrix.coeff(p,q)),
numext::real(matrix.coeff(q,p)), numext::real(matrix.coeff(q,q));
JacobiRotation<RealScalar> rot1;
RealScalar t = m.coeff(0,0) + m.coeff(1,1);
RealScalar d = m.coeff(1,0) - m.coeff(0,1);
@@ -426,7 +426,7 @@ void real_2x2_jacobi_svd(const MatrixType& matrix, Index p, Index q,
else
{
RealScalar u = d / t;
rot1.c() = RealScalar(1) / sqrt(RealScalar(1) + abs2(u));
rot1.c() = RealScalar(1) / sqrt(RealScalar(1) + numext::abs2(u));
rot1.s() = rot1.c() * u;
}
m.applyOnTheLeft(0,1,rot1);
@@ -850,17 +850,12 @@ struct solve_retval<JacobiSVD<_MatrixType, QRPreconditioner>, Rhs>
// A = U S V^*
// So A^{-1} = V S^{-1} U^*
Index diagSize = (std::min)(dec().rows(), dec().cols());
typename JacobiSVDType::SingularValuesType invertedSingVals(diagSize);
Matrix<Scalar, Dynamic, Rhs::ColsAtCompileTime, 0, _MatrixType::MaxRowsAtCompileTime, Rhs::MaxColsAtCompileTime> tmp;
Index nonzeroSingVals = dec().nonzeroSingularValues();
invertedSingVals.head(nonzeroSingVals) = dec().singularValues().head(nonzeroSingVals).array().inverse();
invertedSingVals.tail(diagSize - nonzeroSingVals).setZero();
dst = dec().matrixV().leftCols(diagSize)
* invertedSingVals.asDiagonal()
* dec().matrixU().leftCols(diagSize).adjoint()
* rhs();
tmp.noalias() = dec().matrixU().leftCols(nonzeroSingVals).adjoint() * rhs();
tmp = dec().singularValues().head(nonzeroSingVals).asDiagonal().inverse() * tmp;
dst = dec().matrixV().leftCols(nonzeroSingVals) * tmp;
}
};
} // end namespace internal