File: CmplxSCHUR.cc

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/*

Copyright (C) 1996 John W. Eaton

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 2, 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, write to the Free
Software Foundation, 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.

*/

#if defined (__GNUG__)
#pragma implementation
#endif

#ifdef HAVE_CONFIG_H
#include <config.h>
#endif

#include "CmplxSCHUR.h"
#include "f77-fcn.h"
#include "lo-error.h"
#include "mx-inlines.cc"

extern "C"
{
  int F77_FCN (zgeesx, ZGEESX) (const char*, const char*,
				ComplexSCHUR::select_function,
				const char*, const int&, Complex*,
				const int&, int&, Complex*, Complex*,
				const int&, double&, double&,
				Complex*, const int&, double*, int*,
				int&, long, long, long);
}

static int
select_ana (const Complex& a)
{
  return a.real () < 0.0;
}

static int
select_dig (const Complex& a)
{
  return (abs (a) < 1.0);
}

int
ComplexSCHUR::init (const ComplexMatrix& a, const string& ord)
{
  int a_nr = a.rows ();
  int a_nc = a.cols ();

  if (a_nr != a_nc)
    {
      (*current_liboctave_error_handler)
	("ComplexSCHUR requires square matrix");
      return -1;
    }

  char jobvs = 'V';
  char sense = 'N';
  char sort = 'N';

  char ord_char = ord.empty () ? 'U' : ord[0];

  if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd')
    sort = 'S';

  if (ord_char == 'A' || ord_char == 'a')
    selector = select_ana;
  else if (ord_char == 'D' || ord_char == 'd')
    selector = select_dig;
  else
    selector = 0;

  int n = a_nc;
  int lwork = 8 * n;
  int info;
  int sdim;
  double rconde;
  double rcondv;

  schur_mat = a;
  unitary_mat.resize (n, n);

  Complex *s = schur_mat.fortran_vec ();
  Complex *q = unitary_mat.fortran_vec ();

  Array<double> rwork (n);
  double *prwork = rwork.fortran_vec ();

  Array<Complex> w (n);
  Complex *pw = w.fortran_vec ();

  Array<Complex> work (lwork);
  Complex *pwork = work.fortran_vec ();

  // bwork is not referenced for non-ordered Schur.

  Array<int> bwork;

  if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd')
    bwork.resize (n);

  int *pbwork = bwork.fortran_vec ();

  F77_XFCN (zgeesx, ZGEESX, (&jobvs, &sort, selector, &sense, n, s, n,
			     sdim, pw, q, n, rconde, rcondv, pwork,
			     lwork, prwork, pbwork, info, 1L, 1L, 1L));

  if (f77_exception_encountered)
    (*current_liboctave_error_handler) ("unrecoverable error in zgeesx");

  return info;
}

/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; End: ***
*/