// Copyright (C) 2016-2018 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::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> Matrix;
    typedef Eigen::Matrix<Scalar, Eigen::Dynamic, 1> Vector;
    typedef Eigen::Map<const Matrix> MapConstMat;
    typedef Eigen::Map<const Vector> MapConstVec;
    typedef Eigen::Map<Vector> MapVec;

    typedef const Eigen::Ref<const Matrix> ConstGenericMatrix;

    const MapConstMat 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_.data(), mat_.rows(), mat_.cols())
    {}

    ///
    /// Return the number of rows of the underlying matrix.
    ///
    int rows() const { return m_mat.rows(); }
    ///
    /// Return the number of columns of the underlying matrix.
    ///
    int 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
