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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-#ifndef EIGEN_SELFADJOINTMATRIX_H
-#define EIGEN_SELFADJOINTMATRIX_H
-
-namespace Eigen {
-
-/** \class SelfAdjointView
- * \ingroup Core_Module
- *
- *
- * \brief Expression of a selfadjoint matrix from a triangular part of a dense matrix
- *
- * \param MatrixType the type of the dense matrix storing the coefficients
- * \param TriangularPart can be either \c #Lower or \c #Upper
- *
- * This class is an expression of a sefladjoint matrix from a triangular part of a matrix
- * with given dense storage of the coefficients. It is the return type of MatrixBase::selfadjointView()
- * and most of the time this is the only way that it is used.
- *
- * \sa class TriangularBase, MatrixBase::selfadjointView()
- */
-
-namespace internal {
-template<typename MatrixType, unsigned int UpLo>
-struct traits<SelfAdjointView<MatrixType, UpLo> > : traits<MatrixType>
-{
- typedef typename nested<MatrixType>::type MatrixTypeNested;
- typedef typename remove_all<MatrixTypeNested>::type MatrixTypeNestedCleaned;
- typedef MatrixType ExpressionType;
- typedef typename MatrixType::PlainObject DenseMatrixType;
- enum {
- Mode = UpLo | SelfAdjoint,
- Flags = MatrixTypeNestedCleaned::Flags & (HereditaryBits)
- & (~(PacketAccessBit | DirectAccessBit | LinearAccessBit)), // FIXME these flags should be preserved
- CoeffReadCost = MatrixTypeNestedCleaned::CoeffReadCost
- };
-};
-}
-
-template <typename Lhs, int LhsMode, bool LhsIsVector,
- typename Rhs, int RhsMode, bool RhsIsVector>
-struct SelfadjointProductMatrix;
-
-// FIXME could also be called SelfAdjointWrapper to be consistent with DiagonalWrapper ??
-template<typename MatrixType, unsigned int UpLo> class SelfAdjointView
- : public TriangularBase<SelfAdjointView<MatrixType, UpLo> >
-{
- public:
-
- typedef TriangularBase<SelfAdjointView> Base;
- typedef typename internal::traits<SelfAdjointView>::MatrixTypeNested MatrixTypeNested;
- typedef typename internal::traits<SelfAdjointView>::MatrixTypeNestedCleaned MatrixTypeNestedCleaned;
-
- /** \brief The type of coefficients in this matrix */
- typedef typename internal::traits<SelfAdjointView>::Scalar Scalar;
-
- typedef typename MatrixType::Index Index;
-
- enum {
- Mode = internal::traits<SelfAdjointView>::Mode
- };
- typedef typename MatrixType::PlainObject PlainObject;
-
- EIGEN_DEVICE_FUNC
- inline SelfAdjointView(MatrixType& matrix) : m_matrix(matrix)
- {}
-
- EIGEN_DEVICE_FUNC
- inline Index rows() const { return m_matrix.rows(); }
- EIGEN_DEVICE_FUNC
- inline Index cols() const { return m_matrix.cols(); }
- EIGEN_DEVICE_FUNC
- inline Index outerStride() const { return m_matrix.outerStride(); }
- EIGEN_DEVICE_FUNC
- inline Index innerStride() const { return m_matrix.innerStride(); }
-
- /** \sa MatrixBase::coeff()
- * \warning the coordinates must fit into the referenced triangular part
- */
- EIGEN_DEVICE_FUNC
- inline Scalar coeff(Index row, Index col) const
- {
- Base::check_coordinates_internal(row, col);
- return m_matrix.coeff(row, col);
- }
-
- /** \sa MatrixBase::coeffRef()
- * \warning the coordinates must fit into the referenced triangular part
- */
- EIGEN_DEVICE_FUNC
- inline Scalar& coeffRef(Index row, Index col)
- {
- Base::check_coordinates_internal(row, col);
- return m_matrix.const_cast_derived().coeffRef(row, col);
- }
-
- /** \internal */
- EIGEN_DEVICE_FUNC
- const MatrixTypeNestedCleaned& _expression() const { return m_matrix; }
-
- EIGEN_DEVICE_FUNC
- const MatrixTypeNestedCleaned& nestedExpression() const { return m_matrix; }
- EIGEN_DEVICE_FUNC
- MatrixTypeNestedCleaned& nestedExpression() { return *const_cast<MatrixTypeNestedCleaned*>(&m_matrix); }
-
- /** Efficient self-adjoint matrix times vector/matrix product */
- template<typename OtherDerived>
- EIGEN_DEVICE_FUNC
- SelfadjointProductMatrix<MatrixType,Mode,false,OtherDerived,0,OtherDerived::IsVectorAtCompileTime>
- operator*(const MatrixBase<OtherDerived>& rhs) const
- {
- return SelfadjointProductMatrix
- <MatrixType,Mode,false,OtherDerived,0,OtherDerived::IsVectorAtCompileTime>
- (m_matrix, rhs.derived());
- }
-
- /** Efficient vector/matrix times self-adjoint matrix product */
- template<typename OtherDerived> friend
- EIGEN_DEVICE_FUNC
- SelfadjointProductMatrix<OtherDerived,0,OtherDerived::IsVectorAtCompileTime,MatrixType,Mode,false>
- operator*(const MatrixBase<OtherDerived>& lhs, const SelfAdjointView& rhs)
- {
- return SelfadjointProductMatrix
- <OtherDerived,0,OtherDerived::IsVectorAtCompileTime,MatrixType,Mode,false>
- (lhs.derived(),rhs.m_matrix);
- }
-
- /** Perform a symmetric rank 2 update of the selfadjoint matrix \c *this:
- * \f$ this = this + \alpha u v^* + conj(\alpha) v u^* \f$
- * \returns a reference to \c *this
- *
- * The vectors \a u and \c v \b must be column vectors, however they can be
- * a adjoint expression without any overhead. Only the meaningful triangular
- * part of the matrix is updated, the rest is left unchanged.
- *
- * \sa rankUpdate(const MatrixBase<DerivedU>&, Scalar)
- */
- template<typename DerivedU, typename DerivedV>
- EIGEN_DEVICE_FUNC
- SelfAdjointView& rankUpdate(const MatrixBase<DerivedU>& u, const MatrixBase<DerivedV>& v, const Scalar& alpha = Scalar(1));
-
- /** Perform a symmetric rank K update of the selfadjoint matrix \c *this:
- * \f$ this = this + \alpha ( u u^* ) \f$ where \a u is a vector or matrix.
- *
- * \returns a reference to \c *this
- *
- * Note that to perform \f$ this = this + \alpha ( u^* u ) \f$ you can simply
- * call this function with u.adjoint().
- *
- * \sa rankUpdate(const MatrixBase<DerivedU>&, const MatrixBase<DerivedV>&, Scalar)
- */
- template<typename DerivedU>
- EIGEN_DEVICE_FUNC
- SelfAdjointView& rankUpdate(const MatrixBase<DerivedU>& u, const Scalar& alpha = Scalar(1));
-
-/////////// Cholesky module ///////////
-
- const LLT<PlainObject, UpLo> llt() const;
- const LDLT<PlainObject, UpLo> ldlt() const;
-
-/////////// Eigenvalue module ///////////
-
- /** Real part of #Scalar */
- typedef typename NumTraits<Scalar>::Real RealScalar;
- /** Return type of eigenvalues() */
- typedef Matrix<RealScalar, internal::traits<MatrixType>::ColsAtCompileTime, 1> EigenvaluesReturnType;
-
- EIGEN_DEVICE_FUNC
- EigenvaluesReturnType eigenvalues() const;
- EIGEN_DEVICE_FUNC
- RealScalar operatorNorm() const;
-
- #ifdef EIGEN2_SUPPORT
- template<typename OtherDerived>
- EIGEN_DEVICE_FUNC
- SelfAdjointView& operator=(const MatrixBase<OtherDerived>& other)
- {
- enum {
- OtherPart = UpLo == Upper ? StrictlyLower : StrictlyUpper
- };
- m_matrix.const_cast_derived().template triangularView<UpLo>() = other;
- m_matrix.const_cast_derived().template triangularView<OtherPart>() = other.adjoint();
- return *this;
- }
- template<typename OtherMatrixType, unsigned int OtherMode>
- EIGEN_DEVICE_FUNC
- SelfAdjointView& operator=(const TriangularView<OtherMatrixType, OtherMode>& other)
- {
- enum {
- OtherPart = UpLo == Upper ? StrictlyLower : StrictlyUpper
- };
- m_matrix.const_cast_derived().template triangularView<UpLo>() = other.toDenseMatrix();
- m_matrix.const_cast_derived().template triangularView<OtherPart>() = other.toDenseMatrix().adjoint();
- return *this;
- }
- #endif
-
- protected:
- MatrixTypeNested m_matrix;
-};
-
-
-// template<typename OtherDerived, typename MatrixType, unsigned int UpLo>
-// internal::selfadjoint_matrix_product_returntype<OtherDerived,SelfAdjointView<MatrixType,UpLo> >
-// operator*(const MatrixBase<OtherDerived>& lhs, const SelfAdjointView<MatrixType,UpLo>& rhs)
-// {
-// return internal::matrix_selfadjoint_product_returntype<OtherDerived,SelfAdjointView<MatrixType,UpLo> >(lhs.derived(),rhs);
-// }
-
-// selfadjoint to dense matrix
-
-namespace internal {
-
-template<typename Derived1, typename Derived2, int UnrollCount, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Upper), UnrollCount, ClearOpposite>
-{
- enum {
- col = (UnrollCount-1) / Derived1::RowsAtCompileTime,
- row = (UnrollCount-1) % Derived1::RowsAtCompileTime
- };
-
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &dst, const Derived2 &src)
- {
- triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Upper), UnrollCount-1, ClearOpposite>::run(dst, src);
-
- if(row == col)
- dst.coeffRef(row, col) = numext::real(src.coeff(row, col));
- else if(row < col)
- dst.coeffRef(col, row) = numext::conj(dst.coeffRef(row, col) = src.coeff(row, col));
- }
-};
-
-template<typename Derived1, typename Derived2, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Upper, 0, ClearOpposite>
-{
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &, const Derived2 &) {}
-};
-
-template<typename Derived1, typename Derived2, int UnrollCount, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Lower), UnrollCount, ClearOpposite>
-{
- enum {
- col = (UnrollCount-1) / Derived1::RowsAtCompileTime,
- row = (UnrollCount-1) % Derived1::RowsAtCompileTime
- };
-
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &dst, const Derived2 &src)
- {
- triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Lower), UnrollCount-1, ClearOpposite>::run(dst, src);
-
- if(row == col)
- dst.coeffRef(row, col) = numext::real(src.coeff(row, col));
- else if(row > col)
- dst.coeffRef(col, row) = numext::conj(dst.coeffRef(row, col) = src.coeff(row, col));
- }
-};
-
-template<typename Derived1, typename Derived2, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Lower, 0, ClearOpposite>
-{
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &, const Derived2 &) {}
-};
-
-template<typename Derived1, typename Derived2, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Upper, Dynamic, ClearOpposite>
-{
- typedef typename Derived1::Index Index;
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &dst, const Derived2 &src)
- {
- for(Index j = 0; j < dst.cols(); ++j)
- {
- for(Index i = 0; i < j; ++i)
- {
- dst.copyCoeff(i, j, src);
- dst.coeffRef(j,i) = numext::conj(dst.coeff(i,j));
- }
- dst.copyCoeff(j, j, src);
- }
- }
-};
-
-template<typename Derived1, typename Derived2, bool ClearOpposite>
-struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Lower, Dynamic, ClearOpposite>
-{
- EIGEN_DEVICE_FUNC
- static inline void run(Derived1 &dst, const Derived2 &src)
- {
- typedef typename Derived1::Index Index;
- for(Index i = 0; i < dst.rows(); ++i)
- {
- for(Index j = 0; j < i; ++j)
- {
- dst.copyCoeff(i, j, src);
- dst.coeffRef(j,i) = numext::conj(dst.coeff(i,j));
- }
- dst.copyCoeff(i, i, src);
- }
- }
-};
-
-} // end namespace internal
-
-/***************************************************************************
-* Implementation of MatrixBase methods
-***************************************************************************/
-
-template<typename Derived>
-template<unsigned int UpLo>
-typename MatrixBase<Derived>::template ConstSelfAdjointViewReturnType<UpLo>::Type
-MatrixBase<Derived>::selfadjointView() const
-{
- return derived();
-}
-
-template<typename Derived>
-template<unsigned int UpLo>
-typename MatrixBase<Derived>::template SelfAdjointViewReturnType<UpLo>::Type
-MatrixBase<Derived>::selfadjointView()
-{
- return derived();
-}
-
-} // end namespace Eigen
-
-#endif // EIGEN_SELFADJOINTMATRIX_H