1
       2
       3
       4
       5
       6
       7
       8
       9
      10
      11
      12
      13
      14
      15
      16
      17
      18
      19
      20
      21
      22
      23
      24
      25
      26
      27
      28
      29
      30
      31
      32
      33
      34
      35
      36
      37
      38
      39
      40
      41
      42
      43
      44
      45
      46
      47
      48
      49
      50
      51
      52
      53
      54
      55
      56
      57
      58
      59
      60
<doc  61
      62
      63
      64
      65
      66
      67
      68
      69
      70
      71
      72
      73
      74
      75
      76
      77

      78
      79
      80
      81
      82
<doc  83
      84
      85
      86

      87
      88
      89
      90
      91
      92
      93
      94
      95
      96
      97
      98
      99
     100
     101
     102
     103
     104
     105
     106
     107
     108
     109
     110
     111
     112
     113
     114
<doc 115
     116
     117
     118
     119
     120
     121
     122
     123
     124
     125
     126
     127
     128
     129
     130
     131

     132
     133
     134
     135
     136
<doc 137
     138
     139
     140

     141
     142
     143
     144
     145
<doc 146
     147
     148
     149
     150
     151
     152
     153
     154
     155
     156
     157

     158
     159
     160
     161
     162
     163
     164
/*
 *   Copyright (c) 2012, 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 DGEEV( JOBVL, JOBVR, N, A, LDA, WR, WI, VL, LDVL, VR,
     $                  LDVR, WORK, LWORK, INFO )
      SUBROUTINE ZGEEV( JOBVL, JOBVR, N, A, LDA, W, VL, LDVL, VR, LDVR,
     $                  WORK, LWORK, RWORK, INFO )
 *
 *  -- LAPACK driver 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_GE_EV_H
#define FLENS_LAPACK_GE_EV_H 1

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

namespace flens { namespace lapack {


//== (ge)ev ====================================================================
//
//  Real variant
//
template <typename MA, typename VWR, typename VWI, typename MVL, typename MVR,
          typename VWORK>
    typename RestrictTo<IsRealGeMatrix<MA>::value
                     && IsRealDenseVector<VWR>::value
                     && IsRealDenseVector<VWI>::value
                     && IsRealGeMatrix<MVL>::value
                     && IsRealGeMatrix<MVR>::value
                     && IsRealDenseVector<VWORK>::value,
             typename RemoveRef<MA>::Type::IndexType>::Type
    ev(bool     computeVL,
       bool     computeVR,
       MA       &&A,
       VWR      &&wr,
       VWI      &&wi,
       MVL      &&VL,
       MVR      &&VR,
       VWORK    &&work);

//== (ge)ev workspace query ======================================================
//
//  Real variant
//
template <typename MA>
    typename RestrictTo<IsRealGeMatrix<MA>::value,
             Pair<typename MA::IndexType> >::Type
    ev_wsq(bool computeVL, bool computeVR, const MA &A);

//== (ge)ev ====================================================================
//
//  Real variant with temporary workspace
//
template <typename MA, typename VWR, typename VWI, typename MVL, typename MVR,
          typename VWORK>
    typename RestrictTo<IsRealGeMatrix<MA>::value
                     && IsRealDenseVector<VWR>::value
                     && IsRealDenseVector<VWI>::value
                     && IsRealGeMatrix<MVL>::value
                     && IsRealGeMatrix<MVR>::value,
             typename RemoveRef<MA>::Type::IndexType>::Type
    ev(bool     computeVL,
       bool     computeVR,
       MA       &&A,
       VWR      &&wr,
       VWI      &&wi,
       MVL      &&VL,
       MVR      &&VR);


#ifdef USE_CXXLAPACK

//== (ge)ev ====================================================================
//
//  Complex variant
//
template <typename MA, typename VW, typename MVL, typename MVR, typename VWORK,
          typename VRWORK>
    typename RestrictTo<IsComplexGeMatrix<MA>::value
                     && IsComplexDenseVector<VW>::value
                     && IsComplexGeMatrix<MVL>::value
                     && IsComplexGeMatrix<MVR>::value
                     && IsComplexDenseVector<VWORK>::value
                     && IsRealDenseVector<VRWORK>::value,
             typename RemoveRef<MA>::Type::IndexType>::Type
    ev(bool     computeVL,
       bool     computeVR,
       MA       &&A,
       VW       &&w,
       MVL      &&VL,
       MVR      &&VR,
       VWORK    &&work,
       VRWORK   &&rWork);

//== (ge)ev workspace query =======================================================
//
//  Complex variant
//
template <typename MA>
    typename RestrictTo<IsComplexGeMatrix<MA>::value,
             Pair<typename MA::IndexType> >::Type
    ev_wsq(bool computeVL, bool computeVR, const MA &A);

//== (ge)ev ====================================================================
//
//  Complex variant with temporary workspace
//
template <typename MA, typename VW, typename MVL, typename MVR>
    typename RestrictTo<IsComplexGeMatrix<MA>::value
                     && IsComplexDenseVector<VW>::value
                     && IsComplexGeMatrix<MVL>::value
                     && IsComplexGeMatrix<MVR>::value,
             typename RemoveRef<MA>::Type::IndexType>::Type
    ev(bool     computeVL,
       bool     computeVR,
       MA       &&A,
       VW       &&w,
       MVL      &&VL,
       MVR      &&VR);

#endif // USE_CXXLAPACK


} } // namespace lapack, flens

#endif // FLENS_LAPACK_GE_EV_H