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/*
 * This file is part of the GROMACS molecular simulation package.
 *
 * Copyright (c) 1991-2000, University of Groningen, The Netherlands.
 * Copyright (c) 2001-2004, The GROMACS development team.
 * Copyright (c) 2012,2014, by the GROMACS development team, led by
 * Mark Abraham, David van der Spoel, Berk Hess, and Erik Lindahl,
 * and including many others, as listed in the AUTHORS file in the
 * top-level source directory and at http://www.gromacs.org.
 *
 * GROMACS is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public License
 * as published by the Free Software Foundation; either version 2.1
 * of the License, or (at your option) any later version.
 *
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with GROMACS; if not, see
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 */
#ifndef GMX_LINEARALGEBRA_EIGENSOLVER_H
#define GMX_LINEARALGEBRA_EIGENSOLVER_H

#include "gromacs/linearalgebra/sparsematrix.h"
#include "gromacs/utility/real.h"

#ifdef __cplusplus
extern "C" {
#endif

/** Calculate eigenvalues/vectors a matrix stored in linear memory (not sparse).
 *
 *  This routine uses lapack to diagonalize a matrix efficiently, and
 *  the eigenvalues/vectors will be sorted in ascending order on output.
 *  Gromacs comes with a built-in portable BLAS/LAPACK, but if performance
 *  matters it is advisable to link with an optimized vendor-provided library.
 *
 *  \param a            Pointer to matrix data, total size n*n
 *                      The input data in the matrix will be destroyed/changed.
 *  \param n            Side of the matrix to calculate eigenvalues for.
 *  \param index_lower  Index of first eigenvector to determine.
 *  \param index_upper  Last eigenvector determined is index_upper-1.
 *  \param eigenvalues  Array of the eigenvalues on return. The length
 *                      of this array _must_ be n, even if not all
 *                      eigenvectors are calculated, since all eigenvalues
 *                      might be needed as an intermediate step.
 *  \param eigenvec     If this pointer is non-NULL, the eigenvectors
 *                      specified by the indices are returned as rows of
 *                      a matrix, i.e. eigenvector j starts at offset j*n, and
 *                      is of length n.
 */
void
eigensolver(real *   a,
            int      n,
            int      index_lower,
            int      index_upper,
            real *   eigenvalues,
            real *   eigenvec);



/*! \brief Sparse matrix eigensolver.
 *
 *  This routine is intended for large matrices that might not fit in memory.
 *
 *  It will determine the neig lowest eigenvalues, and if the eigenvectors pointer
 *  is non-NULL also the corresponding eigenvectors.
 *
 *  maxiter=100000 should suffice in most cases!
 */
void
sparse_eigensolver(gmx_sparsematrix_t *    A,
                   int                     neig,
                   real *                  eigenvalues,
                   real *                  eigenvectors,
                   int                     maxiter);

#ifdef __cplusplus
}
#endif

#endif