update packages

[CreaPhase.git] / octave_packages / m / polynomial / deconv.m

diff --git a/octave_packages/m/polynomial/deconv.m b/octave_packages/m/polynomial/deconv.m
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+## Copyright (C) 1994-2012 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/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {} deconv (@var{y}, @var{a})
+## Deconvolve two vectors.
+##
+## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that
+## @code{y = conv (a, b) + r}.
+##
+## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will
+## contain the coefficients of the polynomial quotient and @var{r} will be
+## a remainder polynomial of lowest order.
+## @seealso{conv, residue}
+## @end deftypefn
+
+## Author: Tony Richardson <arichard@stark.cc.oh.us>
+## Created: June 1994
+## Adapted-By: jwe
+
+function [b, r] = deconv (y, a)
+
+  if (nargin != 2)
+    print_usage ();
+  endif
+
+  if (! (isvector (y) && isvector (a)))
+    error("deconv: both arguments must be vectors");
+  endif
+
+  la = length (a);
+  ly = length (y);
+
+  lb = ly - la + 1;
+
+  ## Ensure A is oriented as Y.
+  if (diff (size (y)(1:2)) * diff (size (a)(1:2)) < 0)
+    a = permute (a, [2, 1]);
+  endif
+
+  if (ly > la)
+    x = zeros (size (y) - size (a) + 1);
+    x (1) = 1;
+    b = filter (y, a, x);
+  elseif (ly == la)
+    b = filter (y, a, 1);
+  else
+    b = 0;
+  endif
+
+  lc = la + length (b) - 1;
+  if (ly == lc)
+    r = y - conv (a, b);
+  else
+    ## Respect the orientation of Y"
+    if (size (y, 1) <= size (y, 2))
+      r = [(zeros (1, lc - ly)), y] - conv (a, b);
+    else
+      r = [(zeros (lc - ly, 1)); y] - conv (a, b);
+    endif
+    if (ly < la)
+      ## Trim the remainder is equal to the length of Y.
+      r = r(end-(length(y)-1):end);
+    endif
+  endif
+
+endfunction
+
+%!test
+%! [b, r] = deconv ([3, 6, 9, 9], [1, 2, 3]);
+%! assert(all (all (b == [3, 0])) && all (all (r == [0, 0, 0, 9])));
+
+%!test
+%! [b, r] = deconv ([3, 6], [1, 2, 3]);
+%! assert(b == 0 && all (all (r == [3, 6])));
+
+%!test
+%! [b, r] = deconv ([3, 6], [1; 2; 3]);
+%! assert(b == 0 && all (all (r == [3, 6])));
+
+%!test
+%! [b,r] = deconv ([3; 6], [1; 2; 3]);
+%! assert (b == 0 && all (all (r == [3; 6])))
+
+%!test
+%! [b, r] = deconv ([3; 6], [1, 2, 3]);
+%! assert (b == 0 && all (all (r == [3; 6])))
+
+%!test
+%! assert (deconv ((1:3)',[1, 1]), [1; 1])
+
+%!error [b, r] = deconv ([3, 6], [1, 2; 3, 4]);
+
+%!error [b, r] = deconv ([3, 6; 1, 2], [1, 2, 3]);
+