Mercurial > hg > octave-lyh
diff scripts/polynomial/polyderiv.m @ 5217:e88886a6934d
[project @ 2005-03-16 20:03:01 by jwe]
author | jwe |
---|---|
date | Wed, 16 Mar 2005 20:03:01 +0000 |
parents | 5ed60b8b1ac4 |
children | 4c8a2e4e0717 |
line wrap: on
line diff
--- a/scripts/polynomial/polyderiv.m +++ b/scripts/polynomial/polyderiv.m @@ -33,63 +33,61 @@ ## 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 (! isvector (p)) - error ("polyderiv: argument must be a vector"); - endif - - if (nargin == 2) - if (! isvector (a)) + if (nargin == 1 || nargin == 2) + if (! isvector (p)) error ("polyderiv: argument must be a vector"); endif - if (nargout == 1) - ## derivative of p*a returns a single polynomial - q = polyderiv(conv(p,a)); + 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 - ## 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); + lp = numel (p); + if (lp == 1) + q = 0; + return; + elseif (lp == 0) + q = []; + return; 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 + ## Force P to be a row vector. + p = p(:).'; - ## move all the gain into the numerator - q=q/r(1); - r=r/r(1); + q = p(1:(lp-1)) .* [(lp-1):-1:1]; endif else - lp = numel (p); - if (lp == 1) - q = 0; - return; - elseif (lp == 0) - q = []; - return; - end - - ## Force P to be a row vector. - p = p(:).'; - - q = p (1:(lp-1)) .* [(lp-1):-1:1]; + usage ("q = polyderiv (p) or q = polyderiv (b, a) or [q, r] = polyderiv (b, a)"); endif + endfunction