view liboctave/numeric/lo-lapack-proto.h @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents f3f3e3793fb5
children 597f3ee61a48
line wrap: on
line source

////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 2016-2022 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
// This file is part of Octave.
//
// Octave is free software: you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// Octave is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with Octave; see the file COPYING.  If not, see
// <https://www.gnu.org/licenses/>.
//
////////////////////////////////////////////////////////////////////////

#if ! defined (octave_lo_lapack_proto_h)
#define octave_lo_lapack_proto_h 1

#include "octave-config.h"

#include "f77-fcn.h"
#include "oct-cmplx.h"

extern "C"
{
  // GBCON

  F77_RET_T
  F77_FUNC (dgbcon, DGBCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, const F77_INT *,
                             const F77_DBLE&, F77_DBLE&, F77_DBLE *,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgbcon, ZGBCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_INT *,
                             const F77_DBLE&, F77_DBLE&, F77_DBLE_CMPLX *,
                             F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // GBTRF

  F77_RET_T
  F77_FUNC (dgbtrf, DGBTRF) (const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_INT *, F77_INT&);

  F77_RET_T
  F77_FUNC (zgbtrf, ZGBTRF) (const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_INT *, F77_INT&);

  // GBTRS

  F77_RET_T
  F77_FUNC (dgbtrs, DGBTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE *, const F77_INT&,
                             const F77_INT *, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgbtrs, ZGBTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE_CMPLX *, const F77_INT&,
                             const F77_INT *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // GEBAL

  F77_RET_T
  F77_FUNC (cgebal, CGEBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgebal, SGEBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // GEBAK

  F77_RET_T
  F77_FUNC (cgebak, CGEBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgebak, SGEBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgebak, ZGEBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GECON

  F77_RET_T
  F77_FUNC (cgecon, CGECON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, const F77_REAL&, F77_REAL&,
                             F77_CMPLX *, F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgecon, DGECON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, const F77_DBLE&, F77_DBLE&,
                             F77_DBLE *, F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgecon, SGECON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, const F77_REAL&, F77_REAL&,
                             F77_REAL *, F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_DBLE&, F77_DBLE&,
                             F77_DBLE_CMPLX *, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // GEHRD

  F77_RET_T
  F77_FUNC (cgehrd, CGEHRD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (dgehrd, DGEHRD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sgehrd, SGEHRD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgehrd, ZGEHRD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);

  // GEQP3

  F77_RET_T
  F77_FUNC (cgeqp3, CGEQP3) (const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT *, F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_REAL *, F77_INT&);

  F77_RET_T
  F77_FUNC (dgeqp3, DGEQP3) (const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_INT *, F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sgeqp3, SGEQP3) (const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_INT *, F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);
  F77_RET_T
  F77_FUNC (zgeqp3, ZGEQP3) (const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_INT *, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *, F77_INT&);

  // GEQRF

  F77_RET_T
  F77_FUNC (cgeqrf, CGEQRF) (const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (dgeqrf, DGEQRF) (const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sgeqrf, SGEQRF) (const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgeqrf, ZGEQRF) (const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);

  // GELQF

  F77_RET_T
  F77_FUNC (cgelqf, CGELQF) (const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (dgelqf, DGELQF) (const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sgelqf, SGELQF) (const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgelqf, ZGELQF) (const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);

  // ORMLQ

  F77_RET_T
  F77_FUNC (cormlq, CORMLQ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dormlq, DORMLQ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sormlq, SORMLQ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zormlq, ZORMLQ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // ORMQR

  F77_RET_T
  F77_FUNC (cormqr, CORMQR) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dormqr, DORMQR) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sormqr, SORMQR) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zormqr, ZORMQR) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GESDD

  F77_RET_T
  F77_FUNC (cgesdd, CGESDD) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&, F77_REAL *,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&, F77_REAL *,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgesdd, DGESDD) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgesdd, SGESDD) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&, F77_REAL *,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgesdd, ZGESDD) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE *,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE *,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);
  // GESVD

  F77_RET_T
  F77_FUNC (cgesvd, CGESVD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&, F77_REAL *,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgesvd, DGESVD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgesvd, SGESVD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&, F77_REAL *,
                             F77_REAL *, const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgesvd, ZGESVD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE *, F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GEJSV

  F77_RET_T
  F77_FUNC (cgejsv, CGEJSV) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&, F77_REAL *,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_REAL *,  const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgejsv, DGEJSV) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgejsv, SGEJSV) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_REAL *, const F77_INT&, F77_REAL *,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_REAL *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgejsv, ZGEJSV) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE *,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE *,       const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GEESX

  typedef F77_INT (*double_selector) (const F77_DBLE&, const F77_DBLE&);
  typedef F77_INT (*float_selector) (const F77_REAL&, const F77_REAL&);
  typedef F77_INT (*complex_selector) (const F77_DBLE_CMPLX&);
  typedef F77_INT (*float_complex_selector) (const F77_CMPLX&);

  F77_RET_T
  F77_FUNC (cgeesx, CGEESX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             float_complex_selector,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_REAL&, F77_REAL&,
                             F77_CMPLX *, const F77_INT&,
                             F77_REAL *, F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgeesx, DGEESX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             double_selector,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&,
                             F77_DBLE *, F77_DBLE *, F77_DBLE *, const F77_INT&,
                             F77_DBLE&, F77_DBLE&, F77_DBLE *, const F77_INT&,
                             F77_INT *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgeesx, SGEESX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             float_selector,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&,
                             F77_REAL *, F77_REAL *, F77_REAL *, const F77_INT&,
                             F77_REAL&, F77_REAL&, F77_REAL *, const F77_INT&,
                             F77_INT *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgeesx, ZGEESX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             complex_selector,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE&, F77_DBLE&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GEEVX

  F77_RET_T
  F77_FUNC (cgeevx, CGEEVX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_REAL *, F77_REAL&, F77_REAL *,
                             F77_REAL *, F77_CMPLX *, const F77_INT&,
                             F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgeevx, DGEEVX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE *,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_DBLE *, F77_DBLE&,
                             F77_DBLE *, F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT *,
                             F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgeevx, SGEEVX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_REAL *, F77_REAL&, F77_REAL *,
                             F77_REAL *, F77_REAL *, const F77_INT&,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgeevx, ZGEEVX) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&,
                             F77_INT&, F77_DBLE *, F77_DBLE&,
                             F77_DBLE *, F77_DBLE *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *,
                             F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GELSD

  F77_RET_T
  F77_FUNC (cgelsd, CGELSD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_REAL *, F77_REAL&,
                             F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_REAL *,
                             F77_INT *, F77_INT&);

  F77_RET_T
  F77_FUNC (dgelsd, DGELSD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE&,
                             F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT *,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (sgelsd, SGELSD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL&,
                             F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT *,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (zgelsd, ZGELSD) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *, F77_DBLE&,
                             F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *,
                             F77_INT *, F77_INT&);

  // GELSY

  F77_RET_T
  F77_FUNC (cgelsy, CGELSY) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT *,
                             F77_REAL&, F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_REAL *, F77_INT&);

  F77_RET_T
  F77_FUNC (dgelsy, DGELSY) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT *,
                             F77_DBLE&, F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sgelsy, SGELSY) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT *,
                             F77_REAL&, F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgelsy, ZGELSY) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT *,
                             F77_DBLE&, F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE *,
                             F77_INT&);

  // GETRF

  F77_RET_T
  F77_FUNC (cgetrf, CGETRF) (const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT *, F77_INT&);

  F77_RET_T
  F77_FUNC (dgetrf, DGETRF) (const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             F77_INT *, F77_INT&);

  F77_RET_T
  F77_FUNC (sgetrf, SGETRF) (const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&,
                             F77_INT *, F77_INT&);

  F77_RET_T
  F77_FUNC (zgetrf, ZGETRF) (const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_INT *, F77_INT&);

  // GETRI

  F77_RET_T
  F77_FUNC (cgetri, CGETRI) (const F77_INT&, F77_CMPLX *,
                             const F77_INT&, const F77_INT *,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (dgetri, DGETRI) (const F77_INT&, F77_DBLE *,
                             const F77_INT&, const F77_INT *,
                             F77_DBLE *, const F77_INT&,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (sgetri, SGETRI) (const F77_INT&, F77_REAL *,
                             const F77_INT&, const F77_INT *,
                             F77_REAL *, const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgetri, ZGETRI) (const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_INT *,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_INT&);

  // GETRS

  F77_RET_T
  F77_FUNC (cgetrs, CGETRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             const F77_INT *, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dgetrs, DGETRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE *, const F77_INT&,
                             const F77_INT *, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sgetrs, SGETRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_REAL *, const F77_INT&,
                             const F77_INT *, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             const F77_INT *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // GGBAL

  F77_RET_T
  F77_FUNC (cggbal, CGGBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             F77_CMPLX *A, const F77_INT& LDA,
                             F77_CMPLX *B, const F77_INT& LDB,
                             F77_INT& ILO, F77_INT& IHI,
                             F77_REAL *LSCALE, F77_REAL *RSCALE,
                             F77_REAL *WORK, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dggbal, DGGBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N, F77_DBLE *A,
                             const F77_INT& LDA, F77_DBLE *B,
                             const F77_INT& LDB, F77_INT& ILO,
                             F77_INT& IHI, F77_DBLE *LSCALE,
                             F77_DBLE *RSCALE, F77_DBLE *WORK,
                             F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sggbal, SGGBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N, F77_REAL *A,
                             const F77_INT& LDA, F77_REAL *B,
                             const F77_INT& LDB,
                             F77_INT& ILO, F77_INT& IHI,
                             F77_REAL *LSCALE, F77_REAL *RSCALE,
                             F77_REAL *WORK, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zggbal, ZGGBAL) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N, F77_DBLE_CMPLX *A,
                             const F77_INT& LDA, F77_DBLE_CMPLX *B,
                             const F77_INT& LDB, F77_INT& ILO,
                             F77_INT& IHI, F77_DBLE *LSCALE,
                             F77_DBLE *RSCALE, F77_DBLE *WORK,
                             F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL);

  // GGBAK

  F77_RET_T
  F77_FUNC (dggbak, DGGBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI,
                             const F77_DBLE *LSCALE, const F77_DBLE *RSCALE,
                             F77_INT& M, F77_DBLE *V,
                             const F77_INT& LDV, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sggbak, SGGBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI,
                             const F77_REAL *LSCALE, const F77_REAL *RSCALE,
                             F77_INT& M, F77_REAL *V,
                             const F77_INT& LDV, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zggbak, ZGGBAK) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI,
                             const F77_DBLE *LSCALE, const F77_DBLE *RSCALE,
                             F77_INT& M, F77_DBLE_CMPLX *V,
                             const F77_INT& LDV, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GGEV

  F77_RET_T
  F77_FUNC (cggev, CGGEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_CMPLX *,
                           F77_CMPLX *, F77_CMPLX *,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_REAL *, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dggev, DGGEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&,
                           F77_DBLE *, const F77_INT&,
                           F77_DBLE *, const F77_INT&,
                           F77_DBLE *, F77_DBLE *, F77_DBLE *, F77_DBLE *,
                           const F77_INT&, F77_DBLE *,
                           const F77_INT&, F77_DBLE *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sggev, SGGEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *, F77_REAL *, F77_REAL *,
                           F77_REAL *, const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zggev, ZGGEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&,
                           F77_DBLE_CMPLX *, const F77_INT&,
                           F77_DBLE_CMPLX *, const F77_INT&,
                           F77_DBLE_CMPLX *, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE *, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // GGHRD

  F77_RET_T
  F77_FUNC (dgghrd, DGGHRD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI, F77_DBLE *A,
                             const F77_INT& LDA, F77_DBLE *B,
                             const F77_INT& LDB, F77_DBLE *Q,
                             const F77_INT& LDQ, F77_DBLE *Z,
                             const F77_INT& LDZ, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgghrd, ZGGHRD) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI, F77_DBLE_CMPLX *A,
                             const F77_INT& LDA, F77_DBLE_CMPLX *B,
                             const F77_INT& LDB, F77_DBLE_CMPLX *Q,
                             const F77_INT& LDQ, F77_DBLE_CMPLX *Z,
                             const F77_INT& LDZ, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // GGSVD

  F77_RET_T
  F77_FUNC (dggsvd, DGGSVD)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_DBLE *,                // A(LDA,N)
   const F77_INT&,            // LDA
   F77_DBLE *,                // B(LDB,N)
   const F77_INT&,            // LDB
   F77_DBLE *,                // ALPHA(N)
   F77_DBLE *,                // BETA(N)
   F77_DBLE *,                // U(LDU,M)
   const F77_INT&,            // LDU
   F77_DBLE *,                // V(LDV,P)
   const F77_INT&,            // LDV
   F77_DBLE *,                // Q(LDQ,N)
   const F77_INT&,            // LDQ
   F77_DBLE *,                // WORK
   F77_INT *,                 // IWORK(N)
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sggsvd, SGGSVD)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_REAL *,                // A
   const F77_INT&,            // LDA
   F77_REAL *,                // B
   const F77_INT&,            // LDB
   F77_REAL *,                // ALPHA
   F77_REAL *,                // BETA
   F77_REAL *,                // U
   const F77_INT&,            // LDU
   F77_REAL *,                // V
   const F77_INT&,            // LDV
   F77_REAL *,                // Q
   const F77_INT&,            // LDQ
   F77_REAL *,                // WORK
   F77_INT *,                 // IWORK
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zggsvd, ZGGSVD)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_DBLE_CMPLX *,          // A(LDA,N)
   const F77_INT&,            // LDA
   F77_DBLE_CMPLX *,          // B(LDB,N)
   const F77_INT&,            // LDB
   F77_DBLE *,                // ALPHA(N)
   F77_DBLE *,                // BETA(N)
   F77_DBLE_CMPLX *,          // U(LDU,M)
   const F77_INT&,            // LDU
   F77_DBLE_CMPLX *,          // V(LDV,P)
   const F77_INT&,            // LDV
   F77_DBLE_CMPLX *,          // Q(LDQ,N)
   const F77_INT&,            // LDQ
   F77_DBLE_CMPLX *,          // WORK
   F77_DBLE *,                // RWORK
   F77_INT *,                 // IWORK(N)
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (cggsvd, CGGSVD)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_CMPLX *,               // A
   const F77_INT&,            // LDA
   F77_CMPLX *,               // B
   const F77_INT&,            // LDB
   F77_REAL *,                // ALPHA
   F77_REAL *,                // BETA
   F77_CMPLX *,               // U
   const F77_INT&,            // LDU
   F77_CMPLX *,               // V
   const F77_INT&,            // LDV
   F77_CMPLX *,               // Q
   const F77_INT&,            // LDQ
   F77_CMPLX *,               // WORK
   F77_REAL *,                // RWORK
   F77_INT *,                 // IWORK
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  // GGSVD3

  F77_RET_T
  F77_FUNC (dggsvd3, DGGSVD3)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_DBLE *,                // A(LDA,N)
   const F77_INT&,            // LDA
   F77_DBLE *,                // B(LDB,N)
   const F77_INT&,            // LDB
   F77_DBLE *,                // ALPHA(N)
   F77_DBLE *,                // BETA(N)
   F77_DBLE *,                // U(LDU,M)
   const F77_INT&,            // LDU
   F77_DBLE *,                // V(LDV,P)
   const F77_INT&,            // LDV
   F77_DBLE *,                // Q(LDQ,N)
   const F77_INT&,            // LDQ
   F77_DBLE *,                // WORK
   const F77_INT&,            // LWORK
   F77_INT *,                 // IWORK(N)
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (sggsvd3, SGGSVD3)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_REAL *,                // A
   const F77_INT&,            // LDA
   F77_REAL *,                // B
   const F77_INT&,            // LDB
   F77_REAL *,                // ALPHA
   F77_REAL *,                // BETA
   F77_REAL *,                // U
   const F77_INT&,            // LDU
   F77_REAL *,                // V
   const F77_INT&,            // LDV
   F77_REAL *,                // Q
   const F77_INT&,            // LDQ
   F77_REAL *,                // WORK
   const F77_INT&,            // LWORK
   F77_INT *,                 // IWORK
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zggsvd3, ZGGSVD3)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_DBLE_CMPLX *,          // A(LDA,N)
   const F77_INT&,            // LDA
   F77_DBLE_CMPLX *,          // B(LDB,N)
   const F77_INT&,            // LDB
   F77_DBLE *,                // ALPHA(N)
   F77_DBLE *,                // BETA(N)
   F77_DBLE_CMPLX *,          // U(LDU,M)
   const F77_INT&,            // LDU
   F77_DBLE_CMPLX *,          // V(LDV,P)
   const F77_INT&,            // LDV
   F77_DBLE_CMPLX *,          // Q(LDQ,N)
   const F77_INT&,            // LDQ
   F77_DBLE_CMPLX *,          // WORK
   const F77_INT&,            // LWORK
   F77_DBLE *,                // RWORK
   F77_INT *,                 // IWORK(N)
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (cggsvd3, CGGSVD3)
  (F77_CONST_CHAR_ARG_DECL,   // JOBU
   F77_CONST_CHAR_ARG_DECL,   // JOBV
   F77_CONST_CHAR_ARG_DECL,   // JOBQ
   const F77_INT&,            // M
   const F77_INT&,            // N
   const F77_INT&,            // P
   F77_INT&,                  // K
   F77_INT&,                  // L
   F77_CMPLX *,               // A
   const F77_INT&,            // LDA
   F77_CMPLX *,               // B
   const F77_INT&,            // LDB
   F77_REAL *,                // ALPHA
   F77_REAL *,                // BETA
   F77_CMPLX *,               // U
   const F77_INT&,            // LDU
   F77_CMPLX *,               // V
   const F77_INT&,            // LDV
   F77_CMPLX *,               // Q
   const F77_INT&,            // LDQ
   F77_CMPLX *,               // WORK
   const F77_INT&,            // LWORK
   F77_REAL *,                // RWORK
   F77_INT *,                 // IWORK
   F77_INT&                   // INFO
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL
   F77_CHAR_ARG_LEN_DECL);

  // GTSV

  F77_RET_T
  F77_FUNC (dgtsv, DGTSV) (const F77_INT&, const F77_INT&,
                           F77_DBLE *, F77_DBLE *, F77_DBLE *, F77_DBLE *,
                           const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (zgtsv, ZGTSV) (const F77_INT&, const F77_INT&,
                           F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                           F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_INT&);

  // GTTRF

  F77_RET_T
  F77_FUNC (dgttrf, DGTTRF) (const F77_INT&, F77_DBLE *, F77_DBLE *,
                             F77_DBLE *, F77_DBLE *, F77_INT *,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (zgttrf, ZGTTRF) (const F77_INT&, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *, F77_INT *,
                             F77_INT&);

  // GTTRS

  F77_RET_T
  F77_FUNC (dgttrs, DGTTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE *, const F77_DBLE *,
                             const F77_DBLE *, const F77_DBLE *,
                             const F77_INT *, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zgttrs, ZGTTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE_CMPLX *, const F77_DBLE_CMPLX *,
                             const F77_DBLE_CMPLX *, const F77_DBLE_CMPLX *,
                             const F77_INT *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // HEEV

  F77_RET_T
  F77_FUNC (cheev, CHEEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_REAL *, F77_CMPLX *,
                           const F77_INT&, F77_REAL *, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zheev, ZHEEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE *,
                           F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE *,
                           F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // HEGV

  F77_RET_T
  F77_FUNC (chegv, CHEGV) (const F77_INT&,
                           F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_CMPLX *,
                           const F77_INT&, F77_REAL *, F77_CMPLX *,
                           const F77_INT&, F77_REAL *, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zhegv, ZHEGV) (const F77_INT&,
                           F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE *, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_DBLE *, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // HERK

  F77_RET_T
  F77_FUNC (cherk, CHERK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_REAL&, const F77_CMPLX *,
                           const F77_INT&, const F77_REAL&,
                           F77_CMPLX *, const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_DBLE&, const F77_DBLE_CMPLX *,
                           const F77_INT&, const F77_DBLE&, F77_DBLE_CMPLX *,
                           const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // HGEQZ

  F77_RET_T
  F77_FUNC (dhgeqz, DHGEQZ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI,
                             F77_DBLE *A, const F77_INT& LDA, F77_DBLE *B,
                             const F77_INT& LDB, F77_DBLE *ALPHAR,
                             F77_DBLE *ALPHAI, F77_DBLE *BETA, F77_DBLE *Q,
                             const F77_INT& LDQ, F77_DBLE *Z,
                             const F77_INT& LDZ, F77_DBLE *WORK,
                             const F77_INT& LWORK,
                             F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zhgeqz, ZHGEQZ) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT& N,
                             const F77_INT& ILO,
                             const F77_INT& IHI,
                             F77_DBLE_CMPLX *A, const F77_INT& LDA,
                             F77_DBLE_CMPLX *B, const F77_INT& LDB,
                             F77_DBLE_CMPLX *ALPHA, F77_DBLE_CMPLX *BETA,
                             F77_DBLE_CMPLX *CQ, const F77_INT& LDQ,
                             F77_DBLE_CMPLX *CZ, const F77_INT& LDZ,
                             F77_DBLE_CMPLX *WORK, const F77_INT& LWORK,
                             F77_DBLE *RWORK, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // LAENV (liboctave/external/lapack-xtra)

  F77_RET_T
  F77_FUNC (xilaenv, XILAENV) (const F77_INT&,
                               F77_CONST_CHAR_ARG_DECL,
                               F77_CONST_CHAR_ARG_DECL,
                               const F77_INT&, const F77_INT&,
                               const F77_INT&, const F77_INT&,
                               F77_INT&
                               F77_CHAR_ARG_LEN_DECL
                               F77_CHAR_ARG_LEN_DECL);

  // LAG2

  F77_RET_T
  F77_FUNC (dlag2, DLAG2) (const F77_DBLE *A, const F77_INT& LDA,
                           const F77_DBLE *B, const F77_INT& LDB,
                           const F77_DBLE& SAFMIN, F77_DBLE& SCALE1,
                           F77_DBLE& SCALE2, F77_DBLE& WR1, F77_DBLE& WR2,
                           F77_DBLE& WI);

  // LAMCH (liboctave/external/lapack-xtra)

  F77_RET_T
  F77_FUNC (xdlamch, XDLAMCH) (F77_CONST_CHAR_ARG_DECL,
                               F77_DBLE& retval
                               F77_CHAR_ARG_LEN_DECL);

  // LANGE (liboctave/external/lapack-xtra)

  F77_RET_T
  F77_FUNC (xclange, XCLANGE) (F77_CONST_CHAR_ARG_DECL,
                               const F77_INT&, const F77_INT&,
                               const F77_CMPLX *, const F77_INT&,
                               F77_REAL *, F77_REAL&
                               F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL,
                               const F77_INT&, const F77_INT&,
                               const F77_DBLE *, const F77_INT&,
                               F77_DBLE *, F77_DBLE&
                               F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (xslange, XSLANGE) (F77_CONST_CHAR_ARG_DECL,
                               const F77_INT&,
                               const F77_INT&, const F77_REAL *,
                               const F77_INT&, F77_REAL *, F77_REAL&
                               F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL,
                               const F77_INT&, const F77_INT&,
                               const F77_DBLE_CMPLX *, const F77_INT&,
                               F77_DBLE *, F77_DBLE&
                               F77_CHAR_ARG_LEN_DECL);
  // LARTG

  F77_RET_T
  F77_FUNC (clartg, CLARTG) (const F77_CMPLX *, const F77_CMPLX *,
                             F77_REAL&, F77_CMPLX *, F77_CMPLX *);

  F77_RET_T
  F77_FUNC (dlartg, DLARTG) (const F77_DBLE&, const F77_DBLE&, F77_DBLE&,
                             F77_DBLE&, F77_DBLE&);

  F77_RET_T
  F77_FUNC (slartg, SLARTG) (const F77_REAL&, const F77_REAL&, F77_REAL&,
                             F77_REAL&, F77_REAL&);

  F77_RET_T
  F77_FUNC (zlartg, ZLARTG) (const F77_DBLE_CMPLX *, const F77_DBLE_CMPLX *,
                             F77_DBLE&,
                             F77_DBLE_CMPLX *, F77_DBLE_CMPLX *);

  // ORGHR

  F77_RET_T
  F77_FUNC (dorghr, DORGHR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sorghr, SORGHR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);

  // ORGQR

  F77_RET_T
  F77_FUNC (dorgqr, DORGQR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (sorgqr, SORGQR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL *,
                             const F77_INT&, F77_INT&);

  // PBCON

  F77_RET_T
  F77_FUNC (dpbcon, DPBCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&,
                             const F77_DBLE&, F77_DBLE&, F77_DBLE *,
                             F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpbcon, ZPBCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, const F77_DBLE&,
                             F77_DBLE&, F77_DBLE_CMPLX *, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // PBTRF

  F77_RET_T
  F77_FUNC (dpbtrf, DPBTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE *, const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpbtrf, ZPBTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // PBTRS

  F77_RET_T
  F77_FUNC (dpbtrs, DPBTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpbtrs, ZPBTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // POCON

  F77_RET_T
  F77_FUNC (cpocon, CPOCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, const F77_REAL&, F77_REAL&,
                             F77_CMPLX *, F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, const F77_DBLE&,
                             F77_DBLE&, F77_DBLE *, F77_INT *,
                             F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (spocon, SPOCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, const F77_REAL&,
                             F77_REAL&, F77_REAL *, F77_INT *,
                             F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_DBLE&,
                             F77_DBLE&, F77_DBLE_CMPLX *, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // POTRF

  F77_RET_T
  F77_FUNC (cpotrf, CPOTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (spotrf, SPOTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // POTRI

  F77_RET_T
  F77_FUNC (cpotri, CPOTRI) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dpotri, DPOTRI) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (spotri, SPOTRI) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpotri, ZPOTRI) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // POTRS

  F77_RET_T
  F77_FUNC (spotrs, SPOTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_REAL *, const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (cpotrs, CPOTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dpotrs, DPOTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE *, const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL);

  // PTSV

  F77_RET_T
  F77_FUNC (dptsv, DPTSV) (const F77_INT&, const F77_INT&,
                           F77_DBLE *, F77_DBLE *, F77_DBLE *, const F77_INT&,
                           F77_INT&);

  F77_RET_T
  F77_FUNC (zptsv, ZPTSV) (const F77_INT&, const F77_INT&,
                           F77_DBLE *, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                           const F77_INT&, F77_INT&);

  // RSF2CSF (liboctave/external/lapack-xtra)

  F77_RET_T
  F77_FUNC (zrsf2csf, ZRSF2CSF) (const F77_INT&, F77_DBLE_CMPLX *,
                                 F77_DBLE_CMPLX *, F77_DBLE *, F77_DBLE *);

  F77_RET_T
  F77_FUNC (crsf2csf, CRSF2CSF) (const F77_INT&, F77_CMPLX *,
                                 F77_CMPLX *, F77_REAL *, F77_REAL *);

  // SYEV

  F77_RET_T
  F77_FUNC (dsyev, DSYEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_DBLE *,
                           const F77_INT&, F77_DBLE *, F77_DBLE *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ssyev, SSYEV) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *, F77_REAL *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // SYGV

  F77_RET_T
  F77_FUNC (dsygv, DSYGV) (const F77_INT&,
                           F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_DBLE *,
                           const F77_INT&, F77_DBLE *,
                           const F77_INT&, F77_DBLE *, F77_DBLE *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ssygv, SSYGV) (const F77_INT&,
                           F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *,
                           const F77_INT&, F77_REAL *, F77_REAL *,
                           const F77_INT&, F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // SYRK

  F77_RET_T
  F77_FUNC (csyrk, CSYRK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_CMPLX&, const F77_CMPLX *,
                           const F77_INT&, const F77_CMPLX&,
                           F77_CMPLX *, const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dsyrk, DSYRK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_DBLE&, const F77_DBLE *, const F77_INT&,
                           const F77_DBLE&, F77_DBLE *, const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ssyrk, SSYRK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_REAL&, const F77_REAL *, const F77_INT&,
                           const F77_REAL&, F77_REAL *, const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL,
                           F77_CONST_CHAR_ARG_DECL,
                           const F77_INT&, const F77_INT&,
                           const F77_DBLE_CMPLX&, const F77_DBLE_CMPLX *,
                           const F77_INT&, const F77_DBLE_CMPLX&,
                           F77_DBLE_CMPLX *, const F77_INT&
                           F77_CHAR_ARG_LEN_DECL
                           F77_CHAR_ARG_LEN_DECL);

  // TGEVC

  // Documentation for DTGEVC incorrectly states that VR, VL are
  // complex*16; they are declared in DTGEVC as double precision
  // (probably a cut and paste problem fro ZTGEVC).
  F77_RET_T
  F77_FUNC (dtgevc, DTGEVC) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_INT *SELECT,
                             const F77_INT& N, F77_DBLE *A,
                             const F77_INT& LDA, F77_DBLE *B,
                             const F77_INT& LDB, F77_DBLE *VL,
                             const F77_INT& LDVL, F77_DBLE *VR,
                             const F77_INT& LDVR,
                             const F77_INT& MM, F77_INT& M,
                             F77_DBLE *WORK, F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ztgevc, ZTGEVC) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_INT *SELECT,
                             const F77_INT& N, const F77_DBLE_CMPLX *A,
                             const F77_INT& LDA, const F77_DBLE_CMPLX *B,
                             const F77_INT& LDB, F77_DBLE_CMPLX *xVL,
                             const F77_INT& LDVL, F77_DBLE_CMPLX *xVR,
                             const F77_INT& LDVR,
                             const F77_INT& MM, F77_INT& M,
                             F77_DBLE_CMPLX *CWORK, F77_DBLE *RWORK,
                             F77_INT& INFO
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // TGSEN

  F77_RET_T
  F77_FUNC (dtgsen, DTGSEN) (const F77_INT& IJOB,
                             const F77_LOGICAL& WANTQ,
                             const F77_LOGICAL& WANTZ,
                             const F77_LOGICAL *SELECT,
                             const F77_INT& N,
                             F77_DBLE *A,
                             const F77_INT& LDA,
                             F77_DBLE *B,
                             const F77_INT& LDB,
                             F77_DBLE *ALPHAR,
                             F77_DBLE *ALPHAI,
                             F77_DBLE *BETA,
                             F77_DBLE *Q,
                             const F77_INT& LDQ,
                             F77_DBLE *Z,
                             const F77_INT& LDZ,
                             F77_INT& M,
                             F77_DBLE& PL,
                             F77_DBLE& PR,
                             F77_DBLE *DIF,
                             F77_DBLE *WORK,
                             const F77_INT& LWORK,
                             F77_INT *IWORK,
                             const F77_INT& LIWORK,
                             F77_INT& INFO);

  F77_RET_T
  F77_FUNC (ztgsen, ZTGSEN) (const F77_INT& IJOB,
                             const F77_LOGICAL& WANTQ,
                             const F77_LOGICAL& WANTZ,
                             const F77_LOGICAL *SELECT,
                             const F77_INT& N,
                             F77_DBLE_CMPLX *A,
                             const F77_INT& LDA,
                             F77_DBLE_CMPLX *B,
                             const F77_INT& LDB,
                             F77_DBLE_CMPLX *ALPHA,
                             F77_DBLE_CMPLX *BETA,
                             F77_DBLE_CMPLX *Q,
                             const F77_INT& LDQ,
                             F77_DBLE_CMPLX *Z,
                             const F77_INT& LDZ,
                             F77_INT& M,
                             F77_DBLE& PL,
                             F77_DBLE& PR,
                             F77_DBLE *DIF,
                             F77_DBLE_CMPLX *WORK,
                             const F77_INT& LWORK,
                             F77_INT *IWORK,
                             const F77_INT& LIWORK,
                             F77_INT& INFO);

  // TRCON

  F77_RET_T
  F77_FUNC (ctrcon, CTRCON) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, F77_REAL&, F77_CMPLX *,
                             F77_REAL *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dtrcon, DTRCON) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, F77_DBLE&,
                             F77_DBLE *, F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);
  F77_RET_T
  F77_FUNC (strcon, STRCON) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_REAL&,
                             F77_REAL *, F77_INT *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE&,
                             F77_DBLE_CMPLX *, F77_DBLE *, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // TRSEN

  F77_RET_T
  F77_FUNC (ctrsen, CTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
                             const F77_INT *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *, F77_INT&,
                             F77_REAL&, F77_REAL&, F77_CMPLX *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (dtrsen, DTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
                             const F77_INT *, const F77_INT&,
                             F77_DBLE *, const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_DBLE *, F77_DBLE *,
                             F77_INT&, F77_DBLE&, F77_DBLE&, F77_DBLE *,
                             const F77_INT&, F77_INT *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (strsen, STRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
                             const F77_INT *, const F77_INT&,
                             F77_REAL *, const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_REAL *, F77_REAL *,
                             F77_INT&, F77_REAL&, F77_REAL&, F77_REAL *,
                             const F77_INT&, F77_INT *,
                             const F77_INT&, F77_INT&);

  F77_RET_T
  F77_FUNC (ztrsen, ZTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
                             const F77_INT *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, const F77_INT&,
                             F77_DBLE_CMPLX *, F77_INT&, F77_DBLE&,
                             F77_DBLE&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);

  // TRSYL

  F77_RET_T
  F77_FUNC (ctrsyl, CTRSYL) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, F77_REAL&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dtrsyl, DTRSYL) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, F77_DBLE&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (strsyl, STRSYL) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_REAL&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_INT&, const F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_DBLE_CMPLX *,
                             const F77_INT&, const F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // TRTRI

  F77_RET_T
  F77_FUNC (ctrtri, CTRTRI) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dtrtri, DTRTRI) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (strtri, STRTRI) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // TRTRS

  F77_RET_T
  F77_FUNC (ctrtrs, CTRTRS) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_CMPLX *, const F77_INT&,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (dtrtrs, DTRTRS) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE *, const F77_INT&, F77_DBLE *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (strtrs, STRTRS) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&,
                             const F77_INT&, const F77_REAL *,
                             const F77_INT&, F77_REAL *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             F77_CONST_CHAR_ARG_DECL,
                             const F77_INT&, const F77_INT&,
                             const F77_DBLE_CMPLX *, const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL
                             F77_CHAR_ARG_LEN_DECL);

  // UNGHR

  F77_RET_T
  F77_FUNC (cunghr, CUNGHR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (zunghr, ZUNGHR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);
  // UNGQR

  F77_RET_T
  F77_FUNC (cungqr, CUNGQR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_CMPLX *,
                             const F77_INT&, F77_CMPLX *,
                             F77_CMPLX *, const F77_INT&,
                             F77_INT&);

  F77_RET_T
  F77_FUNC (zungqr, ZUNGQR) (const F77_INT&, const F77_INT&,
                             const F77_INT&, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_DBLE_CMPLX *, F77_DBLE_CMPLX *,
                             const F77_INT&, F77_INT&);
}

#endif