Mercurial > forge
diff FIXES/polyderiv.m @ 0:6b33357c7561 octave-forge
Initial revision
author | pkienzle |
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date | Wed, 10 Oct 2001 19:54:49 +0000 |
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children | af97a64aec6a |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/FIXES/polyderiv.m Wed Oct 10 19:54:49 2001 +0000 @@ -0,0 +1,93 @@ +## 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 +## Paul Kienzle <pkienzle@kienzle.powernet.co.uk> +## handle b/a and b*a + +function [q, r] = polyderiv (p, a) + + if (nargin < 1 || nargin > 3) + usage ("q=polyderiv(p) or q=polyderiv(b,a) or [q, r]=polyderiv(b,a)"); + endif + + if (! is_vector (p)) + error ("polyderiv: argument must be a vector"); + endif + + if (nargin == 2) + if (! is_vector (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 length(p) == 1 + q = -p * polyderiv(a); + elseif length(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 + return; + endif + + lp = length (p); + if (lp == 1) + q = 0; + return; + elseif (lp == 0) + q = []; + return; + end + + q = p (1:(lp-1)) .* [(lp-1):-1:1]; + +endfunction