Mercurial > hg > octave-thorsten
view scripts/polynomial/polyderiv.m @ 5217:e88886a6934d
[project @ 2005-03-16 20:03:01 by jwe]
author | jwe |
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date | Wed, 16 Mar 2005 20:03:01 +0000 (2005-03-16) |
parents | 5ed60b8b1ac4 |
children | 4c8a2e4e0717 |
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## Copyright (C) 1996, 1997 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. ## -*- texinfo -*- ## @deftypefn {Function File} {} polyderiv (@var{c}) ## @deftypefnx {Function File} {[@var{q}] =} polyder (@var{b}, @var{a}) ## @deftypefnx {Function File} {[@var{q}, @var{r}] =} polyder (@var{b}, @var{a}) ## Return the coefficients of the derivative of the polynomial whose ## coefficients are given by vector @var{c}. If a pair of polynomials ## is given @var{b} and @var{a}, the derivative of the product is ## returned in @var{q}, or the quotient numerator in @var{q} and the ## quotient denominator in @var{r}. ## @end deftypefn ## @seealso{poly, polyinteg, polyreduce, roots, conv, deconv, residue, ## filter, polygcd, polyval, and polyvalm} ## Author: Tony Richardson <arichard@stark.cc.oh.us> ## Created: June 1994 ## Adapted-By: jwe function [q, r] = polyderiv (p, a) if (nargin == 1 || nargin == 2) if (! isvector (p)) error ("polyderiv: argument must be a vector"); endif if (nargin == 2) if (! isvector (a)) error ("polyderiv: argument must be a vector"); endif if (nargout == 1) ## derivative of p*a returns a single polynomial q = polyderiv (conv (p, a)); else ## derivative of p/a returns numerator and denominator r = conv (a, a); if (numel (p) == 1) q = -p * polyderiv (a); elseif (numel (a) == 1) q = a * polyderiv (p); else q = conv (polyderiv (p), a) - conv (p, polyderiv (a)); q = polyreduce (q); endif ## remove common factors from numerator and denominator x = polygcd (q, r); if (length(x) != 1) q = deconv (q, x); r = deconv (r, x); endif ## move all the gain into the numerator q = q/r(1); r = r/r(1); endif else lp = numel (p); if (lp == 1) q = 0; return; elseif (lp == 0) q = []; return; endif ## Force P to be a row vector. p = p(:).'; q = p(1:(lp-1)) .* [(lp-1):-1:1]; endif else usage ("q = polyderiv (p) or q = polyderiv (b, a) or [q, r] = polyderiv (b, a)"); endif endfunction