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// Copyright (C) 2016-2019 Yixuan Qiu <yixuan.qiu@cos.name>
//
// 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 https://mozilla.org/MPL/2.0/.
#ifndef DENSE_SYM_MAT_PROD_H
#define DENSE_SYM_MAT_PROD_H
#include <Eigen/Core>
namespace Spectra {
///
/// \ingroup MatOp
///
/// This class defines the matrix-vector multiplication operation on a
/// symmetric real matrix \f$A\f$, i.e., calculating \f$y=Ax\f$ for any vector
/// \f$x\f$. It is mainly used in the SymEigsSolver eigen solver.
///
template <typename Scalar, int Uplo = Eigen::Lower>
class DenseSymMatProd
{
private:
typedef Eigen::Index Index;
typedef Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> Matrix;
typedef Eigen::Matrix<Scalar, Eigen::Dynamic, 1> Vector;
typedef Eigen::Map<const Vector> MapConstVec;
typedef Eigen::Map<Vector> MapVec;
typedef const Eigen::Ref<const Matrix> ConstGenericMatrix;
ConstGenericMatrix m_mat;
public:
///
/// Constructor to create the matrix operation object.
///
/// \param mat An **Eigen** matrix object, whose type can be
/// `Eigen::Matrix<Scalar, ...>` (e.g. `Eigen::MatrixXd` and
/// `Eigen::MatrixXf`), or its mapped version
/// (e.g. `Eigen::Map<Eigen::MatrixXd>`).
///
DenseSymMatProd(ConstGenericMatrix& mat) :
m_mat(mat)
{}
///
/// Return the number of rows of the underlying matrix.
///
Index rows() const { return m_mat.rows(); }
///
/// Return the number of columns of the underlying matrix.
///
Index cols() const { return m_mat.cols(); }
///
/// Perform the matrix-vector multiplication operation \f$y=Ax\f$.
///
/// \param x_in Pointer to the \f$x\f$ vector.
/// \param y_out Pointer to the \f$y\f$ vector.
///
// y_out = A * x_in
void perform_op(const Scalar* x_in, Scalar* y_out) const
{
MapConstVec x(x_in, m_mat.cols());
MapVec y(y_out, m_mat.rows());
y.noalias() = m_mat.template selfadjointView<Uplo>() * x;
}
};
} // namespace Spectra
#endif // DENSE_SYM_MAT_PROD_H
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