/*

Copyright (C) 1996, 1997, 1999, 2002, 2005, 2006, 2007 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 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
<http://www.gnu.org/licenses/>.

*/

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

#include "defun-dld.h"
#include "error.h"
#include "gripes.h"
#include "oct-obj.h"
#include "utils.h"
#include "ops.h"
#include "ov-re-diag.h"
#include "ov-cx-diag.h"
#include "ov-flt-re-diag.h"
#include "ov-flt-cx-diag.h"
#include "ov-perm.h"
#include "ov-flt-perm.h"

DEFUN_DLD (pinv, args, ,
  "-*- texinfo -*-\n\
@deftypefn {Loadable Function} {} pinv (@var{x}, @var{tol})\n\
Return the pseudoinverse of @var{x}.  Singular values less than\n\
@var{tol} are ignored. \n\
\n\
If the second argument is omitted, it is assumed that\n\
\n\
@example\n\
tol = max (size (@var{x})) * sigma_max (@var{x}) * eps,\n\
@end example\n\
\n\
@noindent\n\
where @code{sigma_max (@var{x})} is the maximal singular value of @var{x}.\n\
@end deftypefn")
{
  octave_value retval;

  int nargin = args.length ();

  if (nargin < 1 || nargin > 2)
    {
      print_usage ();
      return retval;
    }

  octave_value arg = args(0);

  int arg_is_empty = empty_arg ("pinv", arg.rows (), arg.columns ());

  if (arg_is_empty < 0)
    return retval;
  else if (arg_is_empty > 0)
    return octave_value (Matrix ());

  bool isfloat = arg.is_single_type ();

  if (arg.is_diag_matrix ())
    {
      if (nargin == 2)
        warning ("pinv: tol is ignored for diagonal matrices");

      if (arg.is_complex_type ())
        {
          if (isfloat)
            retval = arg.float_complex_diag_matrix_value ().pseudo_inverse ();
          else
            retval = arg.complex_diag_matrix_value ().pseudo_inverse ();
        }
      else
        {
          if (isfloat)
            retval = arg.float_diag_matrix_value ().pseudo_inverse ();
          else
            retval = arg.diag_matrix_value ().pseudo_inverse ();
        }
    }
  else if (arg.is_perm_matrix ())
    {
      if (isfloat)
        retval = octave_value (arg.perm_matrix_value ().inverse (), true);
      else
        retval = arg.perm_matrix_value ().inverse ();
    }
  else if (isfloat)
    {
      float tol = 0.0;
      if (nargin == 2)
	tol = args(1).float_value ();

      if (error_state)
	return retval;

      if (tol < 0.0)
	{
	  error ("pinv: tol must be greater than zero");
	  return retval;
	}

      if (arg.is_real_type ())
	{
	  FloatMatrix m = arg.float_matrix_value ();

	  if (! error_state)
	    retval = m.pseudo_inverse (tol);
	}
      else if (arg.is_complex_type ())
	{
	  FloatComplexMatrix m = arg.float_complex_matrix_value ();

	  if (! error_state)
	    retval = m.pseudo_inverse (tol);
	}
      else
	{
	  gripe_wrong_type_arg ("pinv", arg);
	}
    }
  else
    {
      double tol = 0.0;
      if (nargin == 2)
	tol = args(1).double_value ();

      if (error_state)
	return retval;

      if (tol < 0.0)
	{
	  error ("pinv: tol must be greater than zero");
	  return retval;
	}

      if (arg.is_real_type ())
	{
	  Matrix m = arg.matrix_value ();

	  if (! error_state)
	    retval = m.pseudo_inverse (tol);
	}
      else if (arg.is_complex_type ())
	{
	  ComplexMatrix m = arg.complex_matrix_value ();

	  if (! error_state)
	    retval = m.pseudo_inverse (tol);
	}
      else
	{
	  gripe_wrong_type_arg ("pinv", arg);
	}
    }

  return retval;
}

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