/*

Copyright (C) 2009-2016   Lukas F. Reichlin

This file is part of LTI Syncope.

LTI Syncope 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.

LTI Syncope 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 LTI Syncope.  If not, see <http://www.gnu.org/licenses/>.

Solution of discrete-time Sylvester equations.
Uses SLICOT SB04QD by courtesy of NICONET e.V.
<http://www.slicot.org>

Author: Lukas Reichlin <lukas.reichlin@gmail.com>
Created: January 2010
Version: 0.3

*/

#include <octave/oct.h>
#include "common.h"

extern "C"
{ 
    int F77_FUNC (sb04qd, SB04QD)
                 (F77_INT& N, F77_INT& M,
                  double* A, F77_INT& LDA,
                  double* B, F77_INT& LDB,
                  double* C, F77_INT& LDC,
                  double* Z, F77_INT& LDZ,
                  F77_INT* IWORK,
                  double* DWORK, F77_INT& LDWORK,
                  F77_INT& INFO);
}

// PKG_ADD: autoload ("__sl_sb04qd__", "__control_slicot_functions__.oct");    
DEFUN_DLD (__sl_sb04qd__, args, nargout,
   "-*- texinfo -*-\n"
   "@deftypefn {} __sl_sb04qd__ (@dots{})\n"
   "Wrapper for SLICOT function SB04QD.@*\n"
   "For internal use only.\n"
   "@end deftypefn")
{
    octave_idx_type nargin = args.length ();
    octave_value_list retval;
    
    if (nargin != 3)
    {
        print_usage ();
    }
    else
    {
        // arguments in
        Matrix a = args(0).matrix_value ();
        Matrix b = args(1).matrix_value ();
        Matrix c = args(2).matrix_value ();
        
        if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan () ||
            c.any_element_is_inf_or_nan ())
          error ("__sl_sb04qd__: inputs must not contain NaN or Inf\n");

        F77_INT n = TO_F77_INT (a.rows ());
        F77_INT m = TO_F77_INT (b.rows ());
        
        F77_INT lda = max (1, n);
        F77_INT ldb = max (1, m);
        F77_INT ldc = max (1, n);
        F77_INT ldz = max (1, m);
        
        // arguments out
        Matrix z (ldz, m);
        
        // workspace
        F77_INT ldwork = max (1, 2*n*n + 9*n, 5*m, n + m);
        
        OCTAVE_LOCAL_BUFFER (F77_INT, iwork, 4*n);
        OCTAVE_LOCAL_BUFFER (double, dwork, ldwork);

        // error indicator
        F77_INT info;
        

        // SLICOT routine SB04QD
        F77_XFCN (sb04qd, SB04QD,
                 (n, m,
                  a.fortran_vec (), lda,
                  b.fortran_vec (), ldb,
                  c.fortran_vec (), ldc,
                  z.fortran_vec (), ldz,
                  iwork,
                  dwork, ldwork,
                  info));

        if (f77_exception_encountered)
            error ("dlyap: __sl_sb04qd__: exception in SLICOT subroutine SB04QD");

        if (info != 0)
            error ("dlyap: __sl_sb04qd__: SB04QD returned info = %d", static_cast<int> (info));
        
        // return values
        retval(0) = c;
    }
    
    return retval;
}
