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## Copyright (C) 1997, 2000, 2004, 2005, 2006, 2007 Kai P. Mueller
##
##
## This program 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.
##
## This program 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 this program; see the file COPYING. If not, see
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{retval} =} is_abcd (@var{a}, @var{b}, @var{c}, @var{d})
## Returns @var{retval} = 1 if the dimensions of @var{a}, @var{b},
## @var{c}, @var{d} are compatible, otherwise @var{retval} = 0 with an
## appropriate diagnostic message printed to the screen. The matrices
## @var{b}, @var{c}, or @var{d} may be omitted.
## @seealso{abcddim}
## @end deftypefn
## Author: Kai P. Mueller <mueller@ifr.ing.tu-bs.de>
## Created: November 4, 1997
## based on is_controllable.m of Scottedward Hodel
function retval = is_abcd (a, b, c, d)
retval = 0;
switch (nargin)
case 1
## A only
[na, ma] = size (a);
if (na != ma)
disp ("Matrix A ist not square.")
endif
case 2
## A, B only
[na, ma] = size (a);
[nb, mb] = size(b);
if (na != ma)
disp ("Matrix A ist not square.")
return;
endif
if (na != nb)
disp ("A and B column dimension different.")
return;
endif
case 3
## A, B, C only
[na, ma] = size(a);
[nb, mb] = size(b);
[nc, mc] = size(c);
if (na != ma)
disp ("Matrix A ist not square.")
return;
endif
if (na != nb)
disp ("A and B column dimensions not compatible.")
return;
endif
if (ma != mc)
disp ("A and C row dimensions not compatible.")
return;
endif
case 4
## all matrices A, B, C, D
[na, ma] = size(a);
[nb, mb] = size(b);
[nc, mc] = size(c);
[nd, md] = size(d);
if (na != ma)
disp ("Matrix A ist not square.")
return;
endif
if (na != nb)
disp ("A and B column dimensions not compatible.")
return;
endif
if (ma != mc)
disp ("A and C row dimensions not compatible.")
return;
endif
if (mb != md)
disp ("B and D row dimensions not compatible.")
return;
endif
if (nc != nd)
disp ("C and D column dimensions not compatible.")
return;
endif
otherwise
print_usage ();
endswitch
## all tests passed, signal ok.
retval = 1;
endfunction
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