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1 ## Copyright (C) 1996, 1997 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA |
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18 ## 02111-1307, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} polyderiv (@var{c}) |
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22 ## @deftypefnx {Function File} {[@var{q}] =} polyder (@var{b}, @var{a}) |
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23 ## @deftypefnx {Function File} {[@var{q}, @var{r}] =} polyder (@var{b}, @var{a}) |
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24 ## Return the coefficients of the derivative of the polynomial whose |
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25 ## coefficients are given by vector @var{c}. If a pair of polynomials |
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26 ## is given @var{b} and @var{a}, the derivative of the product is |
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27 ## returned in @var{q}, or the quotient numerator in @var{q} and the |
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28 ## quotient denominator in @var{r}. |
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29 ## @end deftypefn |
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30 ## @seealso{poly, polyinteg, polyreduce, roots, conv, deconv, residue, |
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31 ## filter, polygcd, polyval, and polyvalm} |
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32 |
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33 ## Author: Tony Richardson <arichard@stark.cc.oh.us> |
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34 ## Created: June 1994 |
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35 ## Adapted-By: jwe |
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36 ## Paul Kienzle <pkienzle@kienzle.powernet.co.uk> |
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37 ## handle b/a and b*a |
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38 |
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39 function [q, r] = polyderiv (p, a) |
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40 |
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41 if (nargin < 1 || nargin > 3) |
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42 usage ("q=polyderiv(p) or q=polyderiv(b,a) or [q, r]=polyderiv(b,a)"); |
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43 endif |
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44 |
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45 if (! is_vector (p)) |
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46 error ("polyderiv: argument must be a vector"); |
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47 endif |
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48 |
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49 if (nargin == 2) |
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50 if (! is_vector (a)) |
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51 error ("polyderiv: argument must be a vector"); |
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52 endif |
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53 if (nargout == 1) |
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54 ## derivative of p*a returns a single polynomial |
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55 q = polyderiv(conv(p,a)); |
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56 else |
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57 ## derivative of p/a returns numerator and denominator |
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58 r = conv(a, a); |
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59 if length(p) == 1 |
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60 q = -p * polyderiv(a); |
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61 elseif length(a) == 1 |
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62 q = a * polyderiv(p); |
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63 else |
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64 q = conv(polyderiv(p),a) - conv(p,polyderiv(a)); |
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65 q = polyreduce(q); |
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66 endif |
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67 |
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68 ## remove common factors from numerator and denominator |
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69 x = polygcd(q,r); |
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70 if length(x)!=1 |
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71 q=deconv(q,x); |
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72 r=deconv(r,x); |
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73 endif |
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74 |
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75 ## move all the gain into the numerator |
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76 q=q/r(1); |
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77 r=r/r(1); |
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78 endif |
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79 return; |
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80 endif |
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81 |
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82 lp = length (p); |
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83 if (lp == 1) |
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84 q = 0; |
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85 return; |
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86 elseif (lp == 0) |
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87 q = []; |
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88 return; |
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89 end |
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90 |
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91 q = p (1:(lp-1)) .* [(lp-1):-1:1]; |
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92 |
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93 endfunction |
