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/*
 *   Copyright (c) 2011, Michael Lehn
 *
 *   All rights reserved.
 *
 *   Redistribution and use in source and binary forms, with or without
 *   modification, are permitted provided that the following conditions
 *   are met:
 *
 *   1) Redistributions of source code must retain the above copyright
 *      notice, this list of conditions and the following disclaimer.
 *   2) Redistributions in binary form must reproduce the above copyright
 *      notice, this list of conditions and the following disclaimer in
 *      the documentation and/or other materials provided with the
 *      distribution.
 *   3) Neither the name of the FLENS development group nor the names of
 *      its contributors may be used to endorse or promote products derived
 *      from this software without specific prior written permission.
 *
 *   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 *   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 *   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
 *   A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
 *   OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 *   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
 *   LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 *   DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
 *   THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 *   (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 *   OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

/* Based on
 *
       SUBROUTINE DTRSEN( JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, WR, WI,
      $                   M, S, SEP, WORK, LWORK, IWORK, LIWORK, INFO )
 *
 *  -- LAPACK routine (version 3.3.1) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *  -- April 2011                                                      --
 *
 */

#ifndef FLENS_LAPACK_IMPL_TRSEN_H
#define FLENS_LAPACK_IMPL_TRSEN_H 1

#include <cmath>
#include <flens/lapack/typedefs.h>
#include <flens/matrixtypes/matrixtypes.h>
#include <flens/vectortypes/vectortypes.h>

namespace flens { namespace lapack {

namespace TRSEN {

    enum Job {
        None = 'N',                 // = 'N': none;
        EigenvaluesOnly = 'E',      // = 'E': for eigenvalues only (S);
        InvariantSubspaceOnly = 'V',// = 'V': for invariant subspace only (SEP);
        Both = 'B'                  // = 'B': for both eigenvalues and invariant
                                    //        subspace (S and SEP).
    };

}

//== trsen =====================================================================

template <typename SELECT, typename MT, typename MQ, typename WR, typename WI,
          typename IndexType, typename S, typename SEP,
          typename WORK, typename IWORK>
    IndexType
    trsen(TRSEN::Job                job,
          bool                      computeQ,
          const DenseVector<SELECT> &select,
          GeMatrix<MT>              &T,
          GeMatrix<MQ>              &Q,
          DenseVector<WR>           &wr,
          DenseVector<WI>           &wi,
          IndexType                 &m,
          S                         &s,
          SEP                       &sep,
          DenseVector<WORK>         &work,
          DenseVector<IWORK>        &iwork);

//-- forwarding ----------------------------------------------------------------

template <typename SELECT, typename MT, typename MQ, typename WR, typename WI,
          typename IndexType, typename S, typename SEP,
          typename WORK, typename IWORK>
    IndexType
    trsen(TRSEN::Job                job,
          bool                      computeQ,
          const DenseVector<SELECT> &select,
          MT                        &&T,
          MQ                        &&Q,
          WR                        &&wr,
          WI                        &&wi,
          IndexType                 &&m,
          S                         &&s,
          SEP                       &&sep,
          WORK                      &&work,
          IWORK                     &&iwork);

} } // namespace lapack, flens

#endif // FLENS_LAPACK_IMPL_TRSEN_H