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Correct the SPQR backend for rank-deficient matrices and delete some public functions
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@ -137,19 +137,21 @@ class SPQR
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eigen_assert(b.cols()==1 && "This method is for vectors only");
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eigen_assert(b.cols()==1 && "This method is for vectors only");
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//Compute Q^T * b
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//Compute Q^T * b
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dest = matrixQ().transpose() * b;
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// Solves with the triangular matrix R
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Dest y;
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Dest y;
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y = this->matrixR().solve(dest.derived().topRows(cols()));
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y = matrixQ().transpose() * b;
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// Solves with the triangular matrix R
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Index rk = this->rank();
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y.topRows(rk) = this->matrixR().topLeftCorner(rk, rk).template triangularView<Upper>().solve(y.topRows(rk));
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y.bottomRows(cols()-rk).setZero();
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// Apply the column permutation
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// Apply the column permutation
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dest = colsPermutation() * y;
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dest.topRows(cols()) = colsPermutation() * y.topRows(cols());
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m_info = Success;
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m_info = Success;
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}
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}
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/// Get the sparse triangular matrix R. It is a sparse matrix
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/** \returns the sparse triangular factor R. It is a sparse matrix
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const SparseTriangularView<MatrixType, Upper> matrixR() const
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*/
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const MatrixType matrixR() const
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{
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{
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eigen_assert(m_isInitialized && " The QR factorization should be computed first, call compute()");
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eigen_assert(m_isInitialized && " The QR factorization should be computed first, call compute()");
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if(!m_isRUpToDate) {
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if(!m_isRUpToDate) {
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@ -183,15 +185,12 @@ class SPQR
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return m_cc.SPQR_istat[4];
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return m_cc.SPQR_istat[4];
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}
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}
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/// Set the fill-reducing ordering method to be used
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/// Set the fill-reducing ordering method to be used
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void setOrdering(int ord) { m_ordering = ord;}
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void setSPQROrdering(int ord) { m_ordering = ord;}
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/// Set the tolerance tol to treat columns with 2-norm < =tol as zero
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/// Set the tolerance tol to treat columns with 2-norm < =tol as zero
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void setThreshold(RealScalar tol) { m_tolerance = tol; }
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void setPivotThreshold(RealScalar tol) { m_tolerance = tol; }
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/// Return a pointer to SPQR workspace
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/** \returns a pointer to the SPQR workspace */
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cholmod_common *cc() const { return &m_cc; }
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cholmod_common *cholmodCommon() const { return &m_cc; }
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cholmod_sparse * H() const { return m_H; }
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Index *HPinv() const { return m_HPinv; }
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cholmod_dense* HTau() const { return m_HTau; }
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/** \brief Reports whether previous computation was successful.
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/** \brief Reports whether previous computation was successful.
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@ -221,6 +220,7 @@ class SPQR
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mutable cholmod_dense *m_HTau; // The Householder coefficients
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mutable cholmod_dense *m_HTau; // The Householder coefficients
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mutable Index m_rank; // The rank of the matrix
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mutable Index m_rank; // The rank of the matrix
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mutable cholmod_common m_cc; // Workspace and parameters
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mutable cholmod_common m_cc; // Workspace and parameters
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template<typename ,typename > friend struct SPQR_QProduct;
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};
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};
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template <typename SPQRType, typename Derived>
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template <typename SPQRType, typename Derived>
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@ -240,9 +240,9 @@ struct SPQR_QProduct : ReturnByValue<SPQR_QProduct<SPQRType,Derived> >
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cholmod_dense y_cd;
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cholmod_dense y_cd;
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cholmod_dense *x_cd;
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cholmod_dense *x_cd;
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int method = m_transpose ? SPQR_QTX : SPQR_QX;
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int method = m_transpose ? SPQR_QTX : SPQR_QX;
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cholmod_common *cc = m_spqr.cc();
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cholmod_common *cc = m_spqr.cholmodCommon();
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y_cd = viewAsCholmod(m_other.const_cast_derived());
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y_cd = viewAsCholmod(m_other.const_cast_derived());
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x_cd = SuiteSparseQR_qmult<Scalar>(method, m_spqr.H(), m_spqr.HTau(), m_spqr.HPinv(), &y_cd, cc);
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x_cd = SuiteSparseQR_qmult<Scalar>(method, m_spqr.m_H, m_spqr.m_HTau, m_spqr.m_HPinv, &y_cd, cc);
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res = Matrix<Scalar,ResType::RowsAtCompileTime,ResType::ColsAtCompileTime>::Map(reinterpret_cast<Scalar*>(x_cd->x), x_cd->nrow, x_cd->ncol);
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res = Matrix<Scalar,ResType::RowsAtCompileTime,ResType::ColsAtCompileTime>::Map(reinterpret_cast<Scalar*>(x_cd->x), x_cd->nrow, x_cd->ncol);
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cholmod_free_dense(&x_cd, cc);
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cholmod_free_dense(&x_cd, cc);
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}
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}
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